) = -v - 1. Let c(p) = 15*h(p) - 3*q(p). Factor c(t).
3*t*(2*t + 1)
Let k be ((-1)/2)/((-3)/24). Let -2*c**k + 8 + 2*c**2 - 8 = 0. Calculate c.
-1, 0, 1
Factor 2*g + 4*g**2 - 4*g**2 + 2*g**2.
2*g*(g + 1)
Let h = -17 - 10. Let f = 89/3 + h. Find k, given that 1/3*k**3 - 4/3 + f*k - 5/3*k**2 = 0.
1, 2
Let x = 91 + -89. Let t = 1196/735 - 4/147. Let -8/5 - t*s - 2/5*s**x = 0. Calculate s.
-2
Let 1/3*l**3 + 0*l + 0 + 1/3*l**2 = 0. What is l?
-1, 0
Let g = -23 + 23. Let m(x) be the third derivative of -2*x**2 + g - 1/360*x**6 + 0*x**3 + 1/36*x**4 + 0*x + 1/180*x**5. Factor m(h).
-h*(h - 2)*(h + 1)/3
Let v be 0 + (-2)/(-9) - 1325/(-477). Determine p so that 0 + 0*p + 2/11*p**2 + 2/11*p**5 + 6/11*p**4 + 6/11*p**v = 0.
-1, 0
Let d(y) be the third derivative of 1/36*y**4 + 0 + 0*y + 1/90*y**5 + 3*y**2 + 1/540*y**6 + 1/27*y**3. Find i such that d(i) = 0.
-1
Factor 3/2 - 5/4*i + 1/4*i**2.
(i - 3)*(i - 2)/4
Let d(z) be the third derivative of z**6/600 - z**5/60 + z**4/15 - 2*z**3/15 + 8*z**2. Factor d(r).
(r - 2)**2*(r - 1)/5
Find z, given that -20/13*z**3 + 6/13*z**2 + 6/13*z**4 - 8/13 + 24/13*z = 0.
-1, 1/3, 2
Let a(f) be the first derivative of 16/9*f - 5/18*f**4 + 4/9*f**2 - 4/9*f**3 - 2/45*f**5 - 4. Factor a(t).
-2*(t - 1)*(t + 2)**3/9
Let s(c) be the second derivative of c**7/2520 + c**6/1080 - c**5/360 - c**4/72 - c**3/2 - 3*c. Let p(n) be the second derivative of s(n). Factor p(v).
(v - 1)*(v + 1)**2/3
Let s(q) be the third derivative of q**8/42 - q**7/105 - 41*q**6/240 - 107*q**5/480 - 25*q**4/192 - q**3/24 - 42*q**2. Let s(r) = 0. What is r?
-1, -1/4, 2
Let z(p) be the first derivative of 3*p**5/5 + 3*p**4/2 - 15*p**3 - 54*p**2 - 68. Find u, given that z(u) = 0.
-3, 0, 4
Determine m, given that -4*m**3 + 3*m**2 - m**5 + 3*m**4 - 6*m**4 + 3*m**3 + 2*m = 0.
-2, -1, 0, 1
Let i be -1*(-13)/((-65)/(-20)). Find u, given that 23/5*u**i + 13/5*u**2 - 27/5*u**3 + 0 - 7/5*u**5 - 2/5*u = 0.
0, 2/7, 1
Let p(a) = a**4 + a - 1. Let m(v) = 3 - 25*v - 1 - 46*v**4 + 28*v**3 + 45*v**2 - 1. Let w(r) = -2*m(r) + 6*p(r). Factor w(q).
2*(q - 1)*(q + 1)*(7*q - 2)**2
Let c(s) be the first derivative of 1/4*s**4 + 0*s - 1/3*s**3 - 1/15*s**5 + 3/2*s**2 - 1. Let k(n) be the second derivative of c(n). What is o in k(o) = 0?
1/2, 1
Let y be ((-6)/(-18))/(2/24). Factor 3*j + 1 - 9*j**3 - 1 + 2*j**2 + y*j**2.
-3*j*(j - 1)*(3*j + 1)
Factor -7*o - 2*o - 5*o - 3*o**5 + 3 + 15*o**4 - o - 30*o**3 + 30*o**2.
-3*(o - 1)**5
Suppose 4*t - 16 = -0*t. Determine h, given that -6*h**4 - 3*h**2 + t*h - 2*h**5 - 2*h**3 + 0*h**4 + 9*h**2 = 0.
-2, -1, 0, 1
Let c be (2/(-140))/((-2)/4). Let i(w) be the second derivative of 1/105*w**6 + 0 + 2*w + 1/42*w**4 - c*w**5 + 0*w**3 + 0*w**2. Factor i(q).
2*q**2*(q - 1)**2/7
Let h(g) be the first derivative of -g**6/9 - 8*g**5/15 - g**4 - 8*g**3/9 - g**2/3 - 3. Solve h(k) = 0.
-1, 0
Let y(r) be the first derivative of -r**5/36 - r**4/24 + r**3/9 - 3*r**2/2 + 1. Let b(l) be the second derivative of y(l). Solve b(j) = 0.
-1, 2/5
Suppose 3*z + 5*g - 15 = g, 0 = -3*z + 4*g + 15. Factor -10*l**5 + 2*l**z - 10*l**5 + 10*l**3 - 6*l**4 - 2*l**2.
-2*l**2*(l + 1)*(3*l - 1)**2
Find d such that 4/7*d + 2*d**2 - 10/7*d**5 + 6/7*d**3 + 0 - 2*d**4 = 0.
-1, -2/5, 0, 1
Let q = 814/5 + -162. Factor 2/5*r**3 + 0 - q*r - 2/5*r**2.
2*r*(r - 2)*(r + 1)/5
Suppose 2 = 12*b - 11*b. Factor -3*g**3 + 3*g - 6*g**2 + b*g**2 + 3 + g**2.
-3*(g - 1)*(g + 1)**2
Let q(b) be the first derivative of -2*b**6/3 + 7*b**5/5 + b**4/2 - 8*b**3/3 + b**2 + b + 3. Let q(l) = 0. Calculate l.
-1, -1/4, 1
Let s(l) be the second derivative of -l**7/56 + 7*l**6/120 - l**5/40 + 4*l - 1. Solve s(u) = 0.
0, 1/3, 2
Let o be (-652)/280 + 12/3. Let r = o + -11/10. Factor 0 - r*g**2 + 2/7*g + 2/7*g**3.
2*g*(g - 1)**2/7
Factor 8/3*b + 2/9*b**3 - 4/3*b**2 - 16/9.
2*(b - 2)**3/9
Let i = 639 + -1913/3. Factor -2*o - 2/3*o**2 - i.
-2*(o + 1)*(o + 2)/3
Let m(p) be the second derivative of -p**4/72 + p**3/36 + p**2/2 - 66*p. What is o in m(o) = 0?
-2, 3
Let t(d) be the first derivative of d**5/80 - d**3/24 - 3*d - 2. Let n(o) be the first derivative of t(o). Let n(v) = 0. Calculate v.
-1, 0, 1
Let k(f) = -f**2 - 4*f + 2. Let i be k(-4). Let u = -8 + 8. Find j, given that 0*j - 2/5*j**i + u = 0.
0
Let n be (-4 + 1)/(9/(-6)). Factor 3/2 - 5/4*h**n - 13/4*h.
-(h + 3)*(5*h - 2)/4
Let t = 125 - 65. Let g be (-2)/5 + t/25. Factor 5*o + 0*o - g*o**2 - o + 0*o**2.
-2*o*(o - 2)
Let b be (0/(-1))/(25 + -23). Determine d, given that 3/4 - 3/4*d**2 + b*d = 0.
-1, 1
Let k = 158 + -156. Factor 13/5*m - m**k + 6/5.
-(m - 3)*(5*m + 2)/5
Factor 2*u**3 + 0*u**2 + 5*u**4 - 6*u**4 - 3*u**3 + 2*u**2.
-u**2*(u - 1)*(u + 2)
Suppose 0 = -4*h - 2*b + 46, -3*b + 26 = 3*h - 16. Let i = -9 + h. Find y such that 2/5 - 2/5*y**2 + i*y = 0.
-1, 1
Suppose 0 = -3*z + 6*z - 12. Suppose 4*m - z = 2*l, 5*l + 0 = -4*m - 10. Factor 2/9*c**3 + m - 2/9*c**2 + 0*c.
2*c**2*(c - 1)/9
Let l(g) be the third derivative of -g**6/40 + g**5/20 + g**4/8 - g**3/2 - 8*g**2. Factor l(o).
-3*(o - 1)**2*(o + 1)
Suppose 3*l - 10 = -2*l. Factor -k + k**3 - 7*k**l + 2*k + 5*k**2.
k*(k - 1)**2
Suppose 4 = -h - 2*v, -4*v - 8 = 3*h - 0*v. Let n(d) be the third derivative of 1/240*d**5 - d**2 + h + 0*d**4 - 1/24*d**3 + 0*d. Determine s so that n(s) = 0.
-1, 1
Let i be 18/63 - (-96)/7. Let n(c) = c**4 + c**3 + 2*c**2 + 2. Let f(g) = 3*g**4 + 4*g**3 + 7*g**2 + 7. Let u(t) = i*n(t) - 4*f(t). Factor u(m).
2*m**3*(m - 1)
Let a(j) be the second derivative of -1/120*j**6 + 3*j + 3/20*j**5 + 0*j**2 - 9/8*j**4 + 0 - 2/3*j**3. Let y(n) be the second derivative of a(n). Factor y(i).
-3*(i - 3)**2
Let j(g) = g**4 - g**3 + 1. Let z(s) = -s**5 - 8*s**4 + 14*s**3 + s**2 - 6*s - 7. Let k(h) = -35*j(h) - 5*z(h). What is m in k(m) = 0?
-3, -1, 0, 1, 2
Let i be (-2 - (0 - 0))/(-4). Let q = -1/351 - -353/702. Solve -i*x**3 - q*x**2 + 1/2 + 1/2*x = 0.
-1, 1
Let r(n) be the first derivative of 4 + 1/4*n**4 + 3/2*n**2 + 3*n + n**3. Let l(k) be the first derivative of r(k). Factor l(d).
3*(d + 1)**2
Determine n so that -1 + 5*n**3 + 3*n + 0*n**3 - 11*n**3 + 7*n**3 - 3*n**2 = 0.
1
Let i be (1 - 1)*9/(-27). Suppose 2*s - 3 + s**2 + 0*s**2 + i + 0*s = 0. What is s?
-3, 1
Suppose 16*q = 17*q - 2. Factor 0 + 0*y - 4/5*y**q - 2/5*y**3.
-2*y**2*(y + 2)/5
Let o(i) be the second derivative of i**5/80 + i**4/16 - i**2/2 - 8*i. Factor o(v).
(v - 1)*(v + 2)**2/4
Let o(f) = 10*f**4 - 24*f**3 + 12*f**2 - 10*f - 6. Let k(l) = -10*l**4 + 24*l**3 - 13*l**2 + 9*l + 5. Let c(q) = -6*k(q) - 5*o(q). Factor c(s).
2*s*(s - 1)**2*(5*s - 2)
Let c = -20 - -23. Let f(q) be the second derivative of 5/48*q**4 + 1/40*q**6 + 4*q + 7/80*q**5 + 1/24*q**c + 0*q**2 + 0. Let f(i) = 0. Calculate i.
-1, -1/3, 0
Let a(y) be the first derivative of y**2 + 4*y - 5 - 5*y**4 - 22/3*y**3. Find f, given that a(f) = 0.
-1, -1/2, 2/5
Let s(y) be the second derivative of -y**5/70 + y**3/21 + 4*y. Factor s(j).
-2*j*(j - 1)*(j + 1)/7
Let 16/5*k**3 - 8/5*k**2 + 0 + 0*k - 2*k**4 + 2/5*k**5 = 0. What is k?
0, 1, 2
Let y(c) = -c**2 + 11*c + 16. Let k be y(12). Let 0*m**2 + k*m**4 - 5*m**4 - m**2 + 2*m**3 + 0*m**2 = 0. What is m?
0, 1
Let v(j) be the third derivative of 1/30*j**7 - 1/140*j**8 + 1/50*j**5 + 1/30*j**4 + 0*j - 1/30*j**3 - 4/75*j**6 + 0 + 6*j**2. Determine p, given that v(p) = 0.
-1/3, 1/4, 1
Let q(h) = -27*h + 164. Let d be q(6). Let r be (-6)/(-9) + 13/3. Suppose 0*u**d + 1/2*u + 1/2*u**r + 0*u**4 - u**3 + 0 = 0. Calculate u.
-1, 0, 1
Let v be 0 - (-1 + 1*-3). Let u = -482/77 + 72/11. What is l in 2/7*l**v + 2/7*l**3 - u*l**2 - 2/7*l + 0 = 0?
-1, 0, 1
Let m(k) be the first derivative of 0*k**5 + 0*k**3 - 4 + 0*k - 2/3*k**6 + k**4 + 0*k**2. Solve m(b) = 0.
-1, 0, 1
Factor -88/9*y - 484/9 - 4/9*y**2.
-4*(y + 11)**2/9
Suppose 8*o = 9*o + 3. Let r = 3 + o. Suppose 0*j + r + 1/5*j**2 - 4/5*j**3 = 0. Calculate j.
0, 1/4
Let p(d) be the second derivative of 0*d**2 + 1/21*d**3 - 7*d + 9/70*d**5 + 5/42*d**4 + 2/147*d**7 + 1/15*d**6 + 0. Determine v, given that p(v) = 0.
-1, -1/2, 0
Let w(q) be the second derivative of -q**6/300 + q**5/40 - q**4/40 - q**3/12 + q**2/5 + 29*q. Factor w(v).
-(v - 4)*(v - 1)**2*(v + 1)/10
Let g(u) be the third derivative of u**8/1344 + u**7/840 - u**6/480 - u**5/240 + 7*u**2. Factor g(q).
q**2*(q - 1)*(q + 1)**2/4
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