 1/70*m**7 + 3*m**2 + 0 - 3/10*m**5 - 1/2*m**3 + 1/10*m**6 + 1/2*m**4. Let w(a) = 0. Calculate a.
1
Let o = -34/35 + 11/7. Solve -9/5*c + 6/5 + o*c**2 = 0 for c.
1, 2
Let d(o) = -o**2. Let x(w) = -8*w**2 + w. Let h(f) = 18*d(f) - 2*x(f). Solve h(s) = 0.
-1, 0
Suppose -5*x = -y - 3, 2*y + 2*y - 4*x - 4 = 0. Suppose 0 = 5*s - y*g - 15, 2*s - 4*s = 3*g - 25. What is p in -17/2*p**2 - 1/2 + s*p**3 + 4*p = 0?
1/5, 1/2, 1
Solve -2/5*x + 4/5*x**4 + 2/5*x**3 + 2/5 - 6/5*x**2 = 0.
-1, 1/2, 1
Let h(y) = -11*y**3 - 14*y**2 + 21*y - 4. Let u(z) = 7*z**3 + 9*z**2 - 14*z + 3. Let s(q) = -5*h(q) - 8*u(q). Determine k so that s(k) = 0.
-4, 1
Let u be (-3)/15 + 93/365. Let p = 102/803 + u. Find f such that -2/11*f**2 + 0*f - p*f**3 + 0 = 0.
-1, 0
Let s = 111 - 221/2. Suppose -1/4 + s*i**2 - 1/4*i = 0. What is i?
-1/2, 1
Factor 12*w**4 - 27*w**2 - w**3 - 13*w**4 + 10*w**3 + 27*w.
-w*(w - 3)**3
Let k be (-20)/(-7)*14/4. Suppose -2*o + k = v, v = -3*o + 5*v + 4. What is t in 0 + 0*t**3 + 2/7*t**o + 0*t - 2/7*t**2 = 0?
-1, 0, 1
Suppose 0 = 9*o - 4*o - 55. Solve -o*s**2 - 18 - 12*s - 14*s**2 + 23*s**2 = 0 for s.
-3
Let b(m) be the third derivative of 0*m**4 + 0 + m**2 + 0*m - 1/240*m**6 - 1/120*m**5 + 0*m**3. Factor b(a).
-a**2*(a + 1)/2
Let p(o) be the third derivative of o**6/360 - o**5/180 - 4*o**2. Find n such that p(n) = 0.
0, 1
Let c(z) be the first derivative of z**3/12 + 5*z**2/4 + 25*z/4 - 24. Suppose c(n) = 0. What is n?
-5
Let -3/4*x**3 + 0 + 3/4*x + 0*x**2 = 0. What is x?
-1, 0, 1
Let k(j) be the first derivative of 0*j**4 + 4/15*j**3 - 2/5*j + 0*j**2 + 2 - 2/25*j**5. Factor k(d).
-2*(d - 1)**2*(d + 1)**2/5
Factor -1/3*b**2 - 100/3 + 20/3*b.
-(b - 10)**2/3
Let w(x) = x**2 - 4*x - 9. Let k be w(6). Determine h, given that -33/2*h**2 + k + 27/2*h = 0.
-2/11, 1
Factor -3/8*c**2 - 3/4*c - 3/8.
-3*(c + 1)**2/8
Suppose 5*w + 23 = 3. Let c be (0 - (-1 - 3)) + w. Solve 1/3*q**2 - 2/3*q + c = 0.
0, 2
Let o(i) = -2*i**2 - 3*i + 3. Let m be o(-4). Let h be 1/(-4) - m/4. What is w in -4*w**2 + h*w**2 - w**2 + w = 0?
0, 1
Suppose 12 = 3*o - o. Let n(r) be the third derivative of 0*r**3 + 1/150*r**5 + 1/300*r**o + 2*r**2 + 0*r + 0 + 0*r**4. Factor n(y).
2*y**2*(y + 1)/5
Let k(n) be the third derivative of -n**8/26880 - n**7/10080 + n**4/8 + 3*n**2. Let l(p) be the second derivative of k(p). Let l(x) = 0. What is x?
-1, 0
Suppose 5*f + 2 = 6*f. Let b be (-8)/(12/(-3)) - f. Find k such that 2/9*k**5 + b - 4/9*k**3 + 0*k**2 + 0*k**4 + 2/9*k = 0.
-1, 0, 1
Let c = -11 - -18. Let i be (-1)/(-2)*(-3 + c). Factor 1/3 - 1/3*z**i - 1/3*z**3 + 1/3*z.
-(z - 1)*(z + 1)**2/3
Factor 398*t + 0*t**2 + 5*t**2 - 3*t**2 - 397*t + t**3.
t*(t + 1)**2
Let t(a) be the third derivative of a**8/84 + 4*a**7/21 + 13*a**6/30 - 4*a**5 + 6*a**4 - 9*a**2. Solve t(l) = 0 for l.
-6, 0, 1
Let a be (2/(-4))/(1/(-8)). Factor 3*v - 12*v + v**2 - 2*v**2 - a + 13*v.
-(v - 2)**2
Let f = 166 - 111. Let q = -163/3 + f. Factor 0*l + q*l**3 + 0 + 2/9*l**5 - 2/3*l**4 - 2/9*l**2.
2*l**2*(l - 1)**3/9
Let q(f) = -6*f**2 + 1. Let s(l) = -5*l**2 + 1. Let a(x) = 4*q(x) - 5*s(x). Let a(o) = 0. Calculate o.
-1, 1
Suppose -3*l + 35 = 4*u, -4*l + 2*u = -3 - 7. Let b(y) be the third derivative of 0 + 0*y + 0*y**3 - 1/84*y**4 + y**2 + 1/210*y**l. Let b(f) = 0. What is f?
0, 1
Let c(j) be the third derivative of -1/18*j**4 + 0 + 7/90*j**5 - 2/45*j**6 + 0*j + 1/105*j**7 + 0*j**3 - j**2. Solve c(o) = 0.
0, 2/3, 1
Let p be (4 - (1 + 3))*1. Let t(u) be the first derivative of p*u**2 + 0*u**3 + 2/25*u**5 + 0*u - 1 + 0*u**4. Factor t(q).
2*q**4/5
Let a = 1528/15 - 305/3. Solve 0 + a*v**2 - 1/5*v**3 + 0*v = 0.
0, 1
Let a be ((-1)/(-2))/(1 + 1/2). Let j(v) be the second derivative of 1/8*v**4 + 0 - a*v**3 - 2*v + 1/4*v**2. Factor j(s).
(s - 1)*(3*s - 1)/2
Let t(i) be the second derivative of -i**6/180 - i**5/40 - i**4/24 - i**3/36 + 6*i. Suppose t(x) = 0. What is x?
-1, 0
Let g be (-21)/(1386/120) - -2. What is o in g*o + 0 + 14/11*o**3 + 10/11*o**2 + 6/11*o**4 = 0?
-1, -1/3, 0
Let n(a) be the second derivative of 1/10*a**6 + 0*a**3 + 0*a**2 + 0*a**4 + 3/10*a**5 + 0 - a. Let n(c) = 0. Calculate c.
-2, 0
Let s(i) be the first derivative of -4 - 35/12*i**4 - 23/15*i**5 - 17/9*i**3 + 4/3*i + 2/3*i**2 - 5/18*i**6. Solve s(q) = 0.
-2, -1, 2/5
Let l = -4 + 7. Suppose 10 = l*y + r - 1, 11 = y + 4*r. Solve 0 - 2/5*w + 2/5*w**2 + 4/5*w**y = 0 for w.
-1, 0, 1/2
Let z(v) be the second derivative of -v**6/165 - v**5/55 - 9*v. Factor z(w).
-2*w**3*(w + 2)/11
Suppose -14 + 8 = 3*r. Let o be 0*(-3)/(-18)*r. Determine k so that o + k**2 - 1/4*k = 0.
0, 1/4
Factor -4/5*o**2 + 0 + 3/5*o**4 + 0*o - 4/5*o**3.
o**2*(o - 2)*(3*o + 2)/5
Let y = -91 + 94. Let b(h) be the first derivative of -1/4*h**4 + h - 1/3*h**y + 1/2*h**2 - 1. Factor b(r).
-(r - 1)*(r + 1)**2
Let v = -81 + 163/2. Factor 0 + 1/2*i**2 - v*i.
i*(i - 1)/2
Let v(z) be the first derivative of 4/3*z**3 + 1 + 16/3*z + 3/2*z**4 - 20/3*z**2. Find f such that v(f) = 0.
-2, 2/3
Let s(f) be the third derivative of -25*f**8/288 - 73*f**7/252 - 43*f**6/120 - 19*f**5/90 - f**4/18 + 7*f**2. Suppose s(q) = 0. Calculate q.
-1, -2/5, -2/7, 0
Let h = -66 + 69. Let b(n) be the third derivative of -1/10*n**5 - 1/112*n**8 + 0*n - 4*n**2 + 1/24*n**4 + 0 + 1/60*n**6 + 1/6*n**h + 1/42*n**7. Factor b(s).
-(s - 1)**3*(s + 1)*(3*s + 1)
Let h(s) be the first derivative of -s**4/16 + s**3/4 - s**2/4 + 5. Factor h(v).
-v*(v - 2)*(v - 1)/4
Let t(d) be the first derivative of -d**3/2 - 3*d**2/4 - 7. Find c such that t(c) = 0.
-1, 0
Let z(b) be the second derivative of b**5/5 - 2*b**4/3 - 2*b**3/3 + 4*b**2 + 6*b. Factor z(r).
4*(r - 2)*(r - 1)*(r + 1)
Suppose 0 = -3*p - 2*o + 8, -2*p + 1 = 3*o - 6. Solve -4/9*c**p + 2/9*c**4 + 4/9*c**3 + 2/9 - 2/9*c**5 - 2/9*c = 0 for c.
-1, 1
Suppose -2*o + 2*u = 6, -u = -4*o + 2*u - 13. Let s be 85/374*o/(-5). Determine k so that 2/11*k**2 - s + 0*k = 0.
-1, 1
Let s(y) be the first derivative of 3*y**4/4 - 2*y**3 + 3*y**2/2 - 6. Factor s(h).
3*h*(h - 1)**2
Factor 5*j + 0 - 12*j**3 + 7*j**4 + 3*j**4 - 2 - 8*j**2 + 7*j.
2*(j - 1)**2*(j + 1)*(5*j - 1)
Suppose -i = -3*v + 15, 4*i - 2*i + v + 2 = 0. Let m be 3 - ((-9)/i)/3. Determine t, given that m*t - 3*t + 4*t**5 - 5*t**5 - 6*t**3 + 4*t**4 + 4*t**2 = 0.
0, 1
Let t(s) be the second derivative of s**6/165 - 3*s**5/55 + 2*s**4/11 - 8*s**3/33 + 3*s. Factor t(f).
2*f*(f - 2)**3/11
Let m(z) = 6*z**3 + 15*z**2 - 30*z + 15. Let p(t) = t**3 + t**2 + t - 1. Let w(s) = m(s) - 3*p(s). Find c, given that w(c) = 0.
-6, 1
Factor -4/7*y**2 + 0 + 16/7*y.
-4*y*(y - 4)/7
Let r(h) be the second derivative of h**4/3 - 8*h**2 + 13*h. Let r(z) = 0. Calculate z.
-2, 2
Let i(v) be the second derivative of 4*v**7/21 - 7*v**5/10 - v**4/6 + v**3 + v**2 + 3*v. Solve i(p) = 0 for p.
-1, -1/2, 1
Let b(c) = -15*c**3 - 10*c**5 + 2*c**5 - 21*c**3 - 6*c**4 - 20*c**4 + 2 - 16*c**2. Let j(u) = u**4 + u**3 + u**2. Let f(x) = b(x) - 4*j(x). Factor f(y).
-2*(y + 1)**4*(4*y - 1)
Let g(q) be the first derivative of 3*q**6/40 + 3*q**5/20 - 5*q**4/48 - q**3/2 - q**2/2 + q + 5. Let r(v) be the first derivative of g(v). Factor r(a).
(a - 1)*(a + 1)*(3*a + 2)**2/4
Let d(u) be the third derivative of u**5/150 + u**4/30 - 6*u**2. Factor d(w).
2*w*(w + 2)/5
Let u(a) be the first derivative of -3*a**5/5 - 3*a**4 + 2*a**3 + 18*a**2 - 27*a - 6. Solve u(b) = 0.
-3, 1
Let x(i) = -i**2 + 8*i - 9. Let d(k) = -2*k + 1. Let m(u) = -6*d(u) - x(u). Factor m(j).
(j + 1)*(j + 3)
Suppose l = 6*l - 25, 4*n + 3*l = 27. Let m be ((-4)/(-6))/(11/66*12). Factor 0 + 0*d - 1/3*d**n + m*d**2 - 2/3*d**4.
-d**2*(d + 1)*(2*d - 1)/3
Let w = 67/88 + -7/11. Let l(u) be the first derivative of -2 - 1/4*u + 1/12*u**3 - w*u**2 + 1/16*u**4. Factor l(k).
(k - 1)*(k + 1)**2/4
Let n(s) be the first derivative of -s**9/12096 + s**7/3360 + 2*s**3 + 9. Let q(x) be the third derivative of n(x). Factor q(h).
-h**3*(h - 1)*(h + 1)/4
Let g = 20 - 2. Let f be (-24)/(-54) + 4/g. Find k, given that -4/3*k**4 + f*k**3 + 0 + 0*k**2 + 2/3*k**5 + 0*k = 0.
0, 1
Let v(r) = r**2 + 2*r - 1. Let n be v(-3). Suppose n*b - 4 - 2 = 0. Let 2*i**2 + 4*i**4 - 3*i**4 - 4*i**b + 3*i**2 - 2*i = 0. What is i?
0, 1, 2
Let k = 214 + -3208/15. Let n(w) be the first derivative of -2 - k*w**5 + 0*w - 1/3*w**4 - 2/9*w**3 + 0*w**2. Factor n(q).
-2*q**