3 = 0 for h.
-2
Let d(w) = 6*w + 121. Let q be d(-6). Let o = -85 + q. Suppose 10/9*h**3 + 0 + o*h + 2/9*h**2 = 0. Calculate h.
-1/5, 0
Factor -3/5*a**2 - 21/5*a - 36/5.
-3*(a + 3)*(a + 4)/5
Let w be -19*(-23)/(-3059) - 23/(-14). Factor 0*v**2 + w*v**3 + 0*v - 9/4*v**4 + 0 + 3/4*v**5.
3*v**3*(v - 2)*(v - 1)/4
Let -3/4*t**3 + 5/4*t**2 - 1/4*t**4 - 1/2*t + 1/4*t**5 + 0 = 0. What is t?
-2, 0, 1
Factor 7*d**4 - 62*d**2 + 26*d**2 + 415*d**3 + 97*d**2 + 57*d**2.
d**2*(d + 59)*(7*d + 2)
Let j be (70/7 - 0)/(143/88). Suppose -66/13*o**2 - 2/13*o**4 - 32/13 - j*o - 20/13*o**3 = 0. Calculate o.
-4, -1
Let y(t) be the third derivative of 0*t**3 + 0 + 0*t**4 + 0*t**5 + 0*t + t**2 + 1/40*t**6 + 1/70*t**7. Factor y(j).
3*j**3*(j + 1)
Factor -46/9*u + 2/9*u**3 - 20/9*u**2 - 8/3.
2*(u - 12)*(u + 1)**2/9
Suppose 20*u + 1 = 41. Let o(z) be the first derivative of z**3 - 6 + 0*z + 3/2*z**u. Suppose o(k) = 0. What is k?
-1, 0
Suppose 3 = 4*u - 13. Suppose -3*l = 4*r - u, -4*l - r - 4 = -5. Factor -4/5*a**3 + 12/5*a + l*a**2 + 8/5.
-4*(a - 2)*(a + 1)**2/5
Let a(q) be the third derivative of 1/60*q**5 - 1/8*q**4 - 2*q**2 - 1/3*q**3 + 0*q + 1/210*q**7 + 1/40*q**6 + 0. Factor a(d).
(d - 1)*(d + 1)**2*(d + 2)
Let a = 63 + -49. Let s(m) = m**2 - 15*m + 14. Let p be s(a). Let 2*l**4 - 2/3*l**3 - 10/9*l**2 + p - 2/9*l = 0. Calculate l.
-1/3, 0, 1
Let s(l) = -45*l**2 + 75*l - 27. Let c(o) = 23*o**2 - 38*o + 14. Let t(p) = 5*c(p) + 2*s(p). Determine r, given that t(r) = 0.
4/5
Suppose 3*b = 3 + 9. Suppose 15 = v + b*v. Factor 0*c**3 - 2*c**2 + 56*c - 56*c + 2*c**v.
2*c**2*(c - 1)
Let q be 1988/(-639)*135/(-50). Factor -6/5*f**4 + 0 + 54/5*f + q*f**3 - 18*f**2.
-6*f*(f - 3)**2*(f - 1)/5
Let i(l) = -5*l**2 + 190*l + 201. Let z(g) = 1. Let p(r) = i(r) - 6*z(r). Determine h so that p(h) = 0.
-1, 39
Let i(u) = 1. Let d be ((1 + 1)/4)/((-5)/40). Let k(q) be the first derivative of -q**3/3 - q**2/2 + 4*q + 3. Let z(b) = d*i(b) + k(b). What is t in z(t) = 0?
-1, 0
Let d = -47777/11 - -4345. Factor -d - 12/11*l - 2/11*l**2.
-2*(l + 3)**2/11
Let b be 5*3*8/60. Let y be 17 + -12 - 1*2. Factor -3*q**3 - b*q**y + q**3.
-4*q**3
Let j(p) be the second derivative of p**5/30 - 35*p**4/6 + 23*p**3 - 103*p**2/3 - 300*p. Factor j(u).
2*(u - 103)*(u - 1)**2/3
Factor -1/2*r**2 + 3*r - 4.
-(r - 4)*(r - 2)/2
Suppose -7*j + 17 = -4. Let z be (-1)/(j/(-36)) + 4. Solve h**4 + 8*h - 8*h**3 + z - 12 - 5*h**4 = 0.
-1, 1
Let k(r) = -r**2 + r + 3. Let s(d) = -d**2 - 7*d + 24. Let x(w) = -2*k(w) + s(w). Factor x(b).
(b - 6)*(b - 3)
Let t(a) be the first derivative of -a**4 + 32*a**3/3 + 2*a**2 - 32*a + 32. Suppose t(b) = 0. What is b?
-1, 1, 8
Suppose 0 = 8*l - 11*l + 6. Solve m**l - 16*m**2 + 15*m - 5 - m**3 + 6*m**3 = 0 for m.
1
Let t(l) be the second derivative of 3*l**7/112 + 11*l**6/20 + 17*l**5/32 + 7*l**4/48 - 2*l - 14. Factor t(p).
p**2*(p + 14)*(3*p + 1)**2/8
Let t(q) be the second derivative of 5*q**4/36 - 10*q**3/3 - 70*q**2/3 + 7*q - 2. Let t(d) = 0. What is d?
-2, 14
Let n be 7 + -16 - (1 + 1). Let s be -3*6/9 + (-6 - n). Solve -6*x**2 - 33/2*x**s + 9/4*x - 15/4*x**5 - 27/2*x**4 + 3/2 = 0 for x.
-1, 2/5
Suppose 0 + 4/7*a**5 - 8/7*a**3 - 6/7*a**2 + 6/7*a**4 + 4/7*a = 0. What is a?
-2, -1, 0, 1/2, 1
Suppose 0 = -3*p + 2*p. Let a be (p + -2)/((-14)/75). Determine j so that -30*j**4 - 12*j**2 + 0 + 12/7*j + a*j**5 + 207/7*j**3 = 0.
0, 2/5, 1
Let o(t) be the second derivative of -3*t**5/50 - 11*t**4/10 - 18*t**3/5 - 16*t - 2. Factor o(p).
-6*p*(p + 2)*(p + 9)/5
Let y(j) be the first derivative of -1/3*j**3 + 1/5*j**5 + 1/4*j**4 - 1/6*j**6 + 0*j + 22 + 0*j**2. Let y(f) = 0. Calculate f.
-1, 0, 1
Let p = -78 - -781/10. Let l(x) be the second derivative of 0*x**2 - p*x**6 + 0*x**4 + 3/20*x**5 - 5*x + 0 + 0*x**3. Suppose l(f) = 0. What is f?
0, 1
Let g(x) be the third derivative of x**6/200 + 59*x**5/100 + 899*x**4/40 + 841*x**3/10 + 3*x**2 + 25. Determine u so that g(u) = 0.
-29, -1
Suppose -13*f**4 + 14*f**4 - f**5 - f - 50*f**2 + 14 + 24*f**4 + 2*f**3 - 7 + 18 = 0. Calculate f.
-1, 1, 25
Let y = -240 - -248. Let i(w) be the first derivative of 3/4*w**4 + y - 15/2*w**2 + 9*w + w**3. Factor i(g).
3*(g - 1)**2*(g + 3)
Let i(g) be the second derivative of 3/40*g**6 + 0*g**3 - 3/40*g**5 + 0 + 15*g + 0*g**2 + 1/48*g**4 - 1/42*g**7. Suppose i(d) = 0. Calculate d.
0, 1/4, 1
Let j(g) be the first derivative of -g**5/70 + 2*g**4/21 - 4*g**3/21 - 10*g - 16. Let l(h) be the first derivative of j(h). What is m in l(m) = 0?
0, 2
Let q(m) be the second derivative of -m**7/6300 - m**6/900 - 4*m**4/3 - 9*m. Let o(c) be the third derivative of q(c). Determine s, given that o(s) = 0.
-2, 0
Let j(x) = -x**2 - 13*x + 18. Let t(p) = -5*p**2 + 2*p + 2. Let y be t(2). Let z be j(y). Factor -32*g**2 - z*g + 0*g + 31*g**2 + 5*g.
-g*(g - 1)
Let c = -26 + 19. Let a be c + ((-930)/(-65))/2. What is s in -2/13*s**2 + 0 - a*s + 2/13*s**4 + 2/13*s**3 = 0?
-1, 0, 1
Let j(o) be the first derivative of -2*o**5/5 + o**4/2 + 4*o**3/3 + 148. Suppose j(v) = 0. What is v?
-1, 0, 2
Suppose 0 = 6*t - 8*t - h + 2, -4*t + h + 10 = 0. Let z(k) be the first derivative of 2 - 4/3*k**3 + 4*k + k**4 - 2*k**t. Determine a, given that z(a) = 0.
-1, 1
Solve -r + 15 - 27*r + 35*r**2 - 52*r - 130*r**2 = 0.
-1, 3/19
Let m = -848 - -848. Let p = 4 - 2. Solve m + 1/3*t**p + 0*t = 0.
0
Let t = -12680 - -164856/13. Find c, given that 6/13*c**3 - 22/13*c**2 - 12/13*c + t = 0.
-1, 2/3, 4
Let h(o) = -4*o**5 + 7*o**4 + 35*o**3 + 24*o**2 + 14*o + 7. Let q(x) = 2*x**5 - 4*x**4 - 18*x**3 - 12*x**2 - 8*x - 4. Let r(i) = -4*h(i) - 7*q(i). Factor r(f).
2*f**2*(f - 3)*(f + 1)*(f + 2)
Let b(u) be the third derivative of -u**8/2688 - u**7/168 - 11*u**6/320 - 11*u**5/120 - 5*u**4/48 + u**2 - 98*u. Let b(s) = 0. Calculate s.
-5, -2, -1, 0
Suppose -4*y + 5 = -3. Let j be ((-6)/(-15))/((-40)/(-25))*2. Factor 0 + j*a**5 - 1/2*a**3 - a**y + 0*a + a**4.
a**2*(a - 1)*(a + 1)*(a + 2)/2
Suppose -2*u = 2*i + 12, -1248*i + 14 = -u - 1250*i. Find x, given that -6/7*x**3 + 6/7*x - 2/7*x**4 + 4/7 - 2/7*x**u = 0.
-2, -1, 1
Let j = 1 + 16. Determine x so that 6*x**4 + 9*x - 15*x**2 - j + 6*x**4 + 20 - 9*x**3 = 0.
-1, -1/4, 1
Let b be (-56)/(-21)*(-6)/(-4). Let x(u) = -u - 5. Let o be x(-9). Factor -i**2 + 2*i**2 + 10*i - 2*i**4 + b + o*i**2 + i**2 - 2*i**3.
-2*(i - 2)*(i + 1)**3
Let y = 149 + -146. Suppose -y*m + m = 0. Factor -2/17*k**3 - 2/17*k**5 + 4/17*k**4 + 0 + m*k**2 + 0*k.
-2*k**3*(k - 1)**2/17
Let d(t) be the third derivative of -t**6/540 - t**5/90 + t**4/6 - 80*t**2. Factor d(p).
-2*p*(p - 3)*(p + 6)/9
Let a be (5 - 0 - 5)*1. Factor -3/8*b**3 - 3/4*b - 9/8*b**2 + a.
-3*b*(b + 1)*(b + 2)/8
Let q(l) be the first derivative of l**4/4 - 22*l**3 + 726*l**2 - 10648*l + 172. Solve q(m) = 0.
22
Let g = 80 - 162. Let f = 29 - g. Let -90*i**4 - f*i**3 - 9*i - 60*i**2 + 8*i - 27*i**5 - 11*i = 0. What is i?
-1, -2/3, 0
Let k(b) = -b**3 + 13*b**2 + b - 11. Let l be k(13). Factor -5 + 152 - 42*h - 9*h**2 + 27*h**l - 15*h**2.
3*(h - 7)**2
Let c(a) be the third derivative of a**6/90 + a**5/30 - a**4/3 - 3*a**3/2 - 3*a**2. Let q(v) be the first derivative of c(v). Factor q(n).
4*(n - 1)*(n + 2)
Find w, given that -634*w**3 + 1249*w**3 + 225*w**2 + 5*w**5 + 140*w - 580*w**3 - 45*w**4 = 0.
-1, 0, 4, 7
Let w(o) be the first derivative of 2*o**6/3 - 9*o**5/5 - o**4/2 + 3*o**3 - o**2 + 19. Determine x, given that w(x) = 0.
-1, 0, 1/4, 1, 2
Let z(w) be the second derivative of -10/3*w**2 + 0*w**5 + 0 - 1/18*w**6 + 0*w**3 + 25/36*w**4 + 48*w. What is t in z(t) = 0?
-2, -1, 1, 2
Suppose -5*v + 24 = -3*j, 2*v - 3*j - 12 = v. Suppose 0 = -4*c + z + v, z + z = 5*c. Factor c*r**3 + 4*r**2 - 3*r**4 + 4*r**4 + 2*r**3.
r**2*(r + 2)**2
Let t(h) be the first derivative of -2*h**5/45 + 11*h**4/18 - 4*h**3/3 - 56*h**2/9 + 128*h/9 - 858. Suppose t(u) = 0. What is u?
-2, 1, 4, 8
Let i(t) be the second derivative of t**7/126 + 7*t**6/45 - t**5/30 - 7*t**4/9 + t**3/18 + 7*t**2/3 + 2*t + 83. Determine k, given that i(k) = 0.
-14, -1, 1
Find b, given that 120*b - 272 - 97*b**2 + 93*b**2 - 628 = 0.
15
Let c(r) = 2*r**3 - 18*r**2 - 143*r - 13. Let k be c(-5). Suppose -1/2*w**k - 6*w - 18 = 0. What is w?
-6
Let j be ((-14)/42)/(6/(-54)). Let p(b) be the third derivative of -9*b**2 + 0 - 7/120*b**4 - 1/200*b**6 + 1/