of 0*m**3 + 1/4*m**5 + 0*m**2 + 2/15*m**6 + m + 1/12*m**4 + 0. Solve q(d) = 0 for d.
-1, -1/4, 0
Let i be (7/(7/(-15)) + 14)*0/1. Factor 4/9*d + i*d**2 + 0 - 1/9*d**3.
-d*(d - 2)*(d + 2)/9
Let j = 77308/3 + -25768. Factor 2 - 2/3*c**2 - j*c.
-2*(c - 1)*(c + 3)/3
Suppose -u = -3*u + 10. Factor -11*v**2 + 15*v**2 + 2 + v - u*v**2.
-(v - 2)*(v + 1)
Suppose 4*d - 17 = 3*a, -a + 7 = 2*d - 2*a. Suppose 5*g - 1 = -3*j, 5*g + 4 - d = -4*j. Determine l so that 5*l**3 - g*l**3 - l - 2*l = 0.
-1, 0, 1
Let b(u) be the first derivative of -u**7/14 - 3*u**6/10 - 3*u**5/10 + 11*u + 28. Let h(y) be the first derivative of b(y). Determine d so that h(d) = 0.
-2, -1, 0
Let z = -18791/6 - -3132. Let c(l) be the third derivative of -8*l**2 + 0 - 4/105*l**7 + 2/15*l**5 + 0*l**3 + z*l**4 + 0*l - 1/84*l**8 + 0*l**6. Factor c(w).
-4*w*(w - 1)*(w + 1)**3
Let r(a) be the first derivative of 0*a**2 - 1/84*a**4 + 3 + 8/3*a**3 + 1/280*a**5 - 1/2520*a**6 + 0*a. Let t(g) be the third derivative of r(g). Factor t(b).
-(b - 2)*(b - 1)/7
Let s(l) be the third derivative of -1/48*l**4 - 1/6*l**3 + 1/15*l**5 + 0*l - 1/48*l**6 + 0 + 26*l**2. Let s(z) = 0. Calculate z.
-2/5, 1
Let v(u) be the first derivative of u**6/9 - 14*u**5/15 + 13*u**4/6 + 2*u**3/3 - 6*u**2 - 682. Let v(l) = 0. What is l?
-1, 0, 2, 3
Let b(s) be the third derivative of s**8/84 - 4*s**7/21 + 11*s**6/10 - 44*s**5/15 + 10*s**4/3 - 11*s**2 - 2. Determine w so that b(w) = 0.
0, 1, 2, 5
Let h(v) be the third derivative of 0 + 1/30*v**6 - 2/15*v**5 + 0*v + 4/3*v**3 - 1/6*v**4 - 25*v**2. Factor h(q).
4*(q - 2)*(q - 1)*(q + 1)
Let f be ((-2)/(-10))/((-4)/(-5)). Suppose 2*q + 22 - 14 = 2*k, 5*k - 20 = -4*q. Factor 0*o**3 + 1/4*o + q - f*o**5 + 1/2*o**2 - 1/2*o**4.
-o*(o - 1)*(o + 1)**3/4
Solve 0 + 0*g**2 - 7/3*g**3 + 0*g + 1/3*g**4 = 0.
0, 7
Let b(h) = h**3 - h**2 + h. Let c(r) = 5*r**3 - 11*r**2 + 12*r + 2. Let z(v) = -6*b(v) + c(v). Let w be z(-6). Factor -j**2 - 6*j**2 - w*j**2 + 6*j**3 + 3*j**4.
3*j**2*(j - 1)*(j + 3)
Suppose -2*l = -6*l + 20. Suppose 36 = l*c - c. Factor c*b**4 + 3*b**5 + b**3 - 5*b**2 - 11*b**3 - b**2 - 9*b + 16*b**3 - 3.
3*(b - 1)*(b + 1)**4
Let d(y) be the first derivative of -14 + 8*y**4 - 7*y**2 - 2*y - 16/3*y**3. Solve d(o) = 0.
-1/4, 1
Let r be ((-24)/(-15) - 3)*(-20)/70. Solve 12/5*j - r*j**2 - 18/5 = 0 for j.
3
Let v(i) be the third derivative of i**6/90 + 7*i**5/45 + 7*i**4/9 + 16*i**3/9 - 145*i**2. Factor v(c).
4*(c + 1)*(c + 2)*(c + 4)/3
Let u be 135/(-54) + (-85)/(-30). Factor 1/3*p - 1/3*p**3 + u*p**4 + 0 - 1/3*p**2.
p*(p - 1)**2*(p + 1)/3
Let q(x) be the third derivative of -1/75*x**6 - 1/30*x**4 + 0*x + 1/525*x**7 + 0*x**3 + 1/30*x**5 + 0 - 25*x**2. Factor q(w).
2*w*(w - 2)*(w - 1)**2/5
Let z = 15 + -13. Let b be z/(-3) + (-56)/(-21). Solve -9*h**4 - 2*h**2 + h**5 + 3*h**2 - 4*h**5 - 9*h**3 - 4*h**b = 0.
-1, 0
Let c(v) = 16*v**3 - v**2 - 2*v. Let q be c(2). Let g = -356/3 + q. Let -g*w - 16/3*w**3 + 0 + 14*w**4 - 22/3*w**2 = 0. What is w?
-1/3, -2/7, 0, 1
Solve 6*b + 996 - 13*b - 990 + b**2 = 0 for b.
1, 6
Let h(z) be the first derivative of 17 + 0*z**2 + 0*z - 1/6*z**3. Factor h(a).
-a**2/2
Factor -v**2 + 3/5 - 2/5*v.
-(v + 1)*(5*v - 3)/5
Let p be ((-3)/6)/((-2)/84*-3). Let d(a) = -7*a**3 + 4*a**2 - 3*a. Let c(m) = 22*m**3 - 11*m**2 + 10*m. Let j(z) = p*d(z) - 2*c(z). Factor j(s).
s*(s - 1)*(5*s - 1)
Let m(v) be the first derivative of v**4/18 - 10*v**3/27 + v**2/3 + 2*v - 358. Find y such that m(y) = 0.
-1, 3
Let q(a) be the first derivative of 5/4*a**2 + 0*a**3 - 5/8*a**4 - 25 + 0*a. Factor q(r).
-5*r*(r - 1)*(r + 1)/2
Let w(k) be the first derivative of k**4/14 + 46*k**3/21 + 143*k**2/7 + 242*k/7 + 75. Factor w(t).
2*(t + 1)*(t + 11)**2/7
Factor -96*t**4 + 94*t**4 + 15*t**3 - 2*t + 3*t**2 - 4*t**2 + 3*t**2 - 13*t**3.
-2*t*(t - 1)**2*(t + 1)
Let g(a) be the third derivative of -a**7/315 + a**6/90 + a**2 - 17*a. Factor g(r).
-2*r**3*(r - 2)/3
Let 12/7 - 2/7*i**2 - 2/7*i = 0. Calculate i.
-3, 2
Let j(y) be the second derivative of -1/66*y**4 + 10/33*y**3 - 25/11*y**2 + 0 - y. Factor j(o).
-2*(o - 5)**2/11
Let r(j) be the second derivative of j**8/1680 - j**7/315 + j**6/180 + 7*j**4/6 - 6*j. Let p(c) be the third derivative of r(c). Solve p(b) = 0.
0, 1
Let i = -3643 + 18216/5. Find q, given that 16/5 + i*q**2 - 8/5*q = 0.
4
Suppose -3*k - 2*g + 3*g + 10 = 0, -4*g + 5 = 3*k. Factor -k*s**3 + 40*s + 4*s**2 - 60 + 6*s**2 - 5*s**2 - 2*s**3.
-5*(s - 2)**2*(s + 3)
Let x be 2 - 1/((-2)/8). Let y = x + -12. Let a(w) = -3*w**2 + 36*w - 3. Let d(f) = 4*f**2 - 35*f + 4. Let c(b) = y*d(b) - 5*a(b). Determine u so that c(u) = 0.
1/3, 3
Suppose 16*m = 51*m. Factor m - 2/15*j**2 + 8/15*j.
-2*j*(j - 4)/15
Let 16*k - 5*k**2 + 101*k + 207*k + 426*k = 0. Calculate k.
0, 150
Let m = 281 - 156. Factor -122*w**2 + 2 + m*w**2 - 9*w + 4.
3*(w - 2)*(w - 1)
Let c(y) be the third derivative of y**7/945 + 13*y**6/270 + 47*y**5/90 - 91*y**4/27 + 196*y**3/27 - 13*y**2 + 5. Determine p so that c(p) = 0.
-14, 1
Let p(h) be the third derivative of 8*h**2 + 0*h - 5/112*h**8 + 0*h**4 + 0 - 1/10*h**6 + 1/5*h**5 + 0*h**3 - 13/70*h**7. Suppose p(k) = 0. What is k?
-2, -1, 0, 2/5
Suppose -131 + 26 = -21*i. Find t, given that 24/7 + 12/7*t - 3/7*t**3 - 30/7*t**2 + 12/7*t**4 - 3/7*t**i = 0.
-1, 2
Let j(l) be the third derivative of -l**9/22680 + l**7/3780 - l**4/12 - 10*l**2. Let m(z) be the second derivative of j(z). Determine v so that m(v) = 0.
-1, 0, 1
Suppose 26*a - 8 = 22*a. Find z, given that -11*z**3 + z**2 + 10*z**4 + z**a - 10*z**4 + 9*z**4 = 0.
0, 2/9, 1
Let l(s) be the first derivative of s**6/3 + 3*s**5/5 - s**3/3 - 118. Factor l(m).
m**2*(m + 1)**2*(2*m - 1)
Suppose 8*i - 8 = 16. Suppose -3*q + 8*q - 14 = b, -i*b + 12 = 3*q. What is t in -18*t - t**4 - t**q - 13*t + 31*t = 0?
-1, 0
Let q be (59 - 68 - 4/10) + 10. Suppose -9/5*t + q*t**4 + 3/5*t**2 + 9/5*t**3 - 6/5 = 0. Calculate t.
-2, -1, 1
Let f(k) be the third derivative of k**5/180 - 7*k**4/72 - k**2 + 3*k. Factor f(n).
n*(n - 7)/3
Suppose -2 = -2*f - 5*z + z, 13 = 3*f + z. Suppose -14 - 1 = -5*n - f*y, -4*n + 4 = -4*y. What is m in -m**n - 1/2*m + 0 = 0?
-1/2, 0
Factor -2/5*w**2 + 72/5 - 14*w.
-2*(w - 1)*(w + 36)/5
Let f(h) = 8*h**3 - 97*h**2 + 15*h - 36. Let x be f(12). Factor x - 2*p - 3*p**3 + 1/2*p**4 + 9/2*p**2.
p*(p - 4)*(p - 1)**2/2
Suppose -16*g**3 - 4*g + 462 + 0*g**4 - 2*g**4 - 2*g**2 - 28*g**2 + 12*g - 422 = 0. Calculate g.
-5, -2, 1
Let h(o) = -9*o**3 - 30*o**2 + 30*o - 3. Let d(v) = -2*v**3 - v - 1. Let l(w) = -3*d(w) + h(w). Let l(x) = 0. What is x?
-11, 0, 1
Let k = -197 + 202. Let h(z) be the third derivative of 2/15*z**4 + 0 + 1/150*z**k + 0*z - 3*z**2 + 16/15*z**3. Suppose h(y) = 0. Calculate y.
-4
Let -42*w**2 + 51*w - 137 + 21*w**2 + 76 + 24*w**2 - 191 = 0. What is w?
-21, 4
Factor 3*t**2 - 2 + 34 - 1 - t**2 + 24*t + 33.
2*(t + 4)*(t + 8)
Let g(z) be the third derivative of -1/2*z**4 - 30*z**2 + 0 + 8/3*z**3 + 0*z - 1/15*z**5. Factor g(s).
-4*(s - 1)*(s + 4)
Let k = -6397 - -44785/7. Determine z so that 40/7*z**2 + 12/7*z**5 - 20/7*z**3 - k - 34/7*z**4 + 8/7*z = 0.
-1, -1/2, 1/3, 1, 3
Let p(a) be the first derivative of 2*a**7/21 - 2*a**6/5 + 3*a**5/5 - a**4/3 - 8*a + 38. Let h(c) be the first derivative of p(c). Factor h(k).
4*k**2*(k - 1)**3
Let x(q) be the first derivative of -4*q**5/25 - q**4/5 + 8*q**3/15 + 103. Factor x(j).
-4*j**2*(j - 1)*(j + 2)/5
Let o(b) be the third derivative of -10*b**2 - 11/390*b**5 + 0 + 35/156*b**4 + 0*b + 1/780*b**6 - 25/39*b**3. Find r, given that o(r) = 0.
1, 5
Let p(t) be the second derivative of -t**5/120 + 7*t**4/72 + 5*t**3/18 - 4*t**2/3 + 170*t - 1. Find z, given that p(z) = 0.
-2, 1, 8
Let x(v) be the third derivative of v**8/12 - 4*v**7/105 - 7*v**6/5 + 68*v**5/15 - 37*v**4/6 + 4*v**3 - 63*v**2. Suppose x(w) = 0. What is w?
-3, 2/7, 1
Suppose -19*l + 20*l - 22 = 0. What is g in -17*g**3 + 5*g**5 + l*g**3 - 15*g**2 - 14*g + 15*g**4 + 4*g = 0?
-2, -1, 0, 1
Let l be 8 + (-7)/((-35)/(-20)). Let n(f) be the first derivative of -f**4 - 2*f**2 - l + 1/5*f**5 + f + 2*f**3. Factor n(z).
(z - 1)**4
Let w = 86 + -83. Suppose -2*c**2 + c**3 + 196 - 3*c**w - 196 = 0. What is c?
-1, 0
Suppose -2*o = 5*l - 20, 2*l - 5 = -o + 3. Suppose 23*p - 21*p = l. Factor 0 + 3/2*v**p - 3/2*v.
3*v*(v - 1)/2
Let 