+ 71*f**2 + 11*f - 89. Let v(h) = -9*i(h) + 2*j(h). Factor v(q).
5*(q - 4)*(q - 1)*(q + 1)
Suppose 5*g = -2*d + 9, -4*g + 5 - 1 = 0. What is x in 15/4*x**3 + 3/8*x**5 + 15/8*x + 15/4*x**d + 3/8 + 15/8*x**4 = 0?
-1
Let q(w) be the second derivative of w**4/78 + w**3/39 - 2*w**2/13 + 7*w. Let q(u) = 0. What is u?
-2, 1
Let o(f) be the first derivative of -2*f**6/3 - 8*f**5 - 25*f**4 + 80*f**3/3 + 160*f**2 - 256*f - 18. Factor o(y).
-4*(y - 1)**2*(y + 4)**3
Let t(u) = 4*u**2 + u + 1. Let z = -15 + 14. Let h(a) = a**2 - a - 1. Let k(g) = z*t(g) + 3*h(g). Solve k(s) = 0 for s.
-2
Let b(c) be the first derivative of c**6/11 - 4*c**5/55 - 3*c**4/11 + 8*c**3/33 + 3*c**2/11 - 4*c/11 - 23. Find i such that b(i) = 0.
-1, 2/3, 1
Let b(j) = -j**3 + 4*j**2 - 5*j + 6. Let q be b(3). Let a(m) be the first derivative of -1/12*m**4 + 1/9*m**3 + 0*m**2 + q*m + 2. What is k in a(k) = 0?
0, 1
What is m in 290*m**3 - 4*m**5 - 570*m**3 + 288*m**3 + 4*m**4 = 0?
-1, 0, 2
Let i(x) = -32*x**4 + 32*x**3 + 80*x**2 - 68*x. Let z(m) = -13*m**4 + 13*m**3 + 32*m**2 - 27*m. Let o(h) = 5*i(h) - 12*z(h). Suppose o(d) = 0. What is d?
-2, 0, 1, 2
Let o = 7 + -5. Let p be o/10 + (-1)/5. Factor p - 2/7*h**3 + 0*h**2 + 0*h.
-2*h**3/7
Factor 12*y**4 + 11*y**2 - 26*y - 2*y**5 + 6 - 36*y**3 + 3*y**4 + 33*y**2 - y**4.
-2*(y - 3)*(y - 1)**4
What is g in -2*g + 42*g**3 - 15*g**3 - 23*g**3 - 14*g + 12*g**2 = 0?
-4, 0, 1
Find o such that -29*o**3 - 39*o**3 + 148*o**4 - 29*o**2 + 33*o**2 + 141*o**4 = 0.
0, 2/17
Let m(g) be the second derivative of 2*g**6/45 + g**5/20 - 7*g**4/12 + 17*g**3/18 - g**2/2 + 6*g. Find k such that m(k) = 0.
-3, 1/4, 1
Let b = -5 + 6. Let l = b - -2. Solve -1/2 + 1/2*a**l - 1/2*a + 1/2*a**2 = 0.
-1, 1
Let l be 28/(-182) - (-8)/52. Factor l + 2/13*h**3 + 0*h**2 - 8/13*h.
2*h*(h - 2)*(h + 2)/13
Factor -1/2*z**2 - 4 + 9/2*z.
-(z - 8)*(z - 1)/2
Let y(r) be the first derivative of r**6/36 - r**5/5 + r**4/3 - 3*r**3 + 5. Let h(m) be the third derivative of y(m). What is v in h(v) = 0?
2/5, 2
Find a such that -2/5*a**2 - 2/5*a + 4/5 = 0.
-2, 1
Factor 2*v - 1649*v**2 - 2*v**4 + 2*v + 1655*v**2.
-2*v*(v - 2)*(v + 1)**2
Suppose 0 = 20*d - 91 - 9. Let w(c) be the second derivative of 0 - 1/130*c**d + 0*c**3 + 0*c**2 + 1/78*c**4 - 3*c. Suppose w(a) = 0. Calculate a.
0, 1
Let z(d) be the first derivative of 5*d**6/3 - 14*d**5/5 + d**4 - 37. Factor z(s).
2*s**3*(s - 1)*(5*s - 2)
Let x(s) be the third derivative of s**8/4032 - s**7/420 + s**6/120 - s**5/90 + 6*s**2 - 2*s. Solve x(k) = 0.
0, 2
Let q(x) = x**2 + 8*x - 3. Let h be q(3). Suppose -8/3*i - h*i**3 + 56/3*i**2 + 98/3*i**5 - 56/3*i**4 + 0 = 0. Calculate i.
-1, 0, 2/7, 1
Let l be 2/(-1) - (-3 + -2). Let -1 + s**2 + 5 + 2*s - l*s**2 + 0*s**2 = 0. Calculate s.
-1, 2
Let s(a) = -6*a**4 + a**3 + 5*a**2 - a - 3. Let n(h) = 13*h**4 - 3*h**3 - 9*h**2 + 2*h + 6. Let y(l) = 4*n(l) + 9*s(l). Factor y(o).
-(o - 1)**2*(o + 3)*(2*o + 1)
Suppose -29 = -3*q + 4*d, -4*d + 0*d = 3*q + 11. Let j be (-2 - 4) + 624/88. Factor -2/11*v**4 + 10/11*v**q + 16/11 - j*v**2 - 8/11*v.
-2*(v - 2)**3*(v + 1)/11
Let b(u) be the second derivative of -u**9/20160 + u**8/3360 - u**7/1440 + u**6/1440 + u**4/3 - 4*u. Let w(f) be the third derivative of b(f). Factor w(g).
-g*(g - 1)**2*(3*g - 2)/4
Let h(t) be the first derivative of 3*t**4/4 - 11*t**3 + 105*t**2/2 - 75*t - 62. Factor h(c).
3*(c - 5)**2*(c - 1)
Let v(n) be the first derivative of n**6/900 + n**5/300 + 4*n**3/3 + 5. Let a(k) be the third derivative of v(k). Factor a(l).
2*l*(l + 1)/5
Let g(s) be the third derivative of -5/12*s**4 + 0 + 0*s + 1/60*s**6 + 1/10*s**5 - s**2 + 2/3*s**3 - 1/105*s**7. Factor g(c).
-2*(c - 1)**3*(c + 2)
Let t = 25 + -49/2. Factor t*k**3 + 0 + 0*k + 0*k**2.
k**3/2
Let v be ((-1)/3)/(6/(-72)). Find u, given that -4*u**2 - 4*u**v + 5*u**2 + u**4 - 2*u**5 = 0.
-1, 0, 1/2
Let v(p) be the second derivative of 3/10*p**5 + 1/10*p**6 + 0*p**3 + 0 + 3*p + 1/4*p**4 + 0*p**2. Factor v(j).
3*j**2*(j + 1)**2
Find j, given that -3*j**4 - 84*j - 36*j**2 + 4*j**3 + 14*j**3 + 108*j = 0.
0, 2
Let n(q) be the second derivative of q**6/60 + 3*q**5/20 + 13*q**4/24 + q**3 + q**2 + 2*q. Factor n(y).
(y + 1)**2*(y + 2)**2/2
Let f(b) be the second derivative of -b**6/360 + b**5/30 - b**4/8 + 4*b**2 + 6*b. Let g(o) be the first derivative of f(o). Factor g(s).
-s*(s - 3)**2/3
Let y = 10/21 + -1/7. Factor 2/3*f**4 + 0*f - y*f**3 + 0 + f**5 + 0*f**2.
f**3*(f + 1)*(3*f - 1)/3
Let p(o) = -o**3 - 3*o**2 + o + 1. Let g(v) = 2*v**3 + 3*v**2 - 2. Let a be -2 - (0/3 + -4). Let f(l) = a*g(l) + 3*p(l). Factor f(z).
(z - 1)**3
Suppose -2*m + 22 = i + 4*i, 2*i - 3*m - 5 = 0. Suppose 6*v**2 - i*v**2 + v + v**2 + 5*v = 0. Calculate v.
-2, 0
Let p be -2 + (4 - 18)/(-2). Factor 5/6*x**3 + 0*x + 1/6*x**p + 1/3*x**2 + 0 + 2/3*x**4.
x**2*(x + 1)**2*(x + 2)/6
Let i(a) be the first derivative of 1/2*a - 1/8*a**4 - 1/6*a**3 + 1/4*a**2 - 1. Factor i(s).
-(s - 1)*(s + 1)**2/2
Suppose -2*y = -3*y + 4. Let t(v) be the second derivative of -v + 1/60*v**y - 1/30*v**3 - 1/5*v**2 + 0. Factor t(l).
(l - 2)*(l + 1)/5
Let b(q) be the second derivative of q**6/10 - q**4/4 - 3*q. Determine s, given that b(s) = 0.
-1, 0, 1
Factor -1/2*m**5 - 1/2*m**4 + 0*m + 0 + 1/2*m**2 + 1/2*m**3.
-m**2*(m - 1)*(m + 1)**2/2
Let w be 2 + (-44)/(-4) - 4. Let f be (-4)/3*w/(-36). Factor k + 1/3*k**3 + f + k**2.
(k + 1)**3/3
Let o(t) be the second derivative of t**4/12 + t**3/2 + t**2 + 4*t. Suppose o(u) = 0. Calculate u.
-2, -1
Let d = 8 + 4. Factor 4 + 91*u - 75*u + 4*u**2 + d.
4*(u + 2)**2
Let a(b) be the second derivative of 0*b**2 + 0 - 8*b + 1/6*b**4 - 1/3*b**3. Factor a(d).
2*d*(d - 1)
Let c(t) be the first derivative of 0*t + 2 + 1/6*t**3 + 3/16*t**4 - 1/8*t**2. Suppose c(p) = 0. What is p?
-1, 0, 1/3
Let m = 8 - 3. Let d(o) be the third derivative of 1/240*o**6 - 1/120*o**m + 0*o**4 + 3*o**2 + 0*o + 0 + 0*o**3. What is x in d(x) = 0?
0, 1
Let j(u) = u + 1. Let v be j(-1). Let s(b) = b**2 + 7*b - 4. Let a be s(-8). Determine y, given that y**2 + 1/3*y + 1/3*y**a + v + y**3 = 0.
-1, 0
Suppose -5*i - 20 = -10*i. Let h be ((-2)/i)/(8/(-4)). Find a, given that -h*a**2 + 0 + 1/4*a = 0.
0, 1
Let r be ((-24)/10 - -1)*6/(-21). Factor -2/5*l**3 + 4/5*l**2 - r*l + 0.
-2*l*(l - 1)**2/5
Let b(x) = -15*x**2 - 125*x - 55. Let j(g) = -g**2 - 9*g - 4. Let i(m) = 4*b(m) - 55*j(m). Let i(o) = 0. What is o?
-1, 0
Let n(d) = d**2 + 3*d - 6. Let t(q) = -5*q**2 - 13*q + 25. Let l(j) = 18*n(j) + 4*t(j). Let k(y) = 3*y**2 - 3*y + 16. Let g(r) = -6*k(r) - 11*l(r). Factor g(m).
4*(m - 2)*(m + 1)
Let a(c) be the first derivative of -c**4/4 - c**3/3 - c + 3. Let b(m) = m**4 - 4*m**3 - 5*m**2 - 4. Let n(h) = 4*a(h) - b(h). Let n(k) = 0. Calculate k.
-1, 0, 1
Let a(k) be the third derivative of k**7/735 + k**6/70 + 13*k**5/210 + k**4/7 + 4*k**3/21 - 28*k**2. Factor a(s).
2*(s + 1)**2*(s + 2)**2/7
Let j = -29 + 31. Find z such that 2/3*z**j + 2/3*z - 2/3 - 2/3*z**3 = 0.
-1, 1
Let c = -269 + 272. Let -8/5*u**4 - 4/5*u**2 + 0*u + 2*u**c + 2/5*u**5 + 0 = 0. Calculate u.
0, 1, 2
Let q(d) be the second derivative of -d**6/120 - d**5/30 - d**4/24 + d**2/2 + 3*d. Let g(z) be the first derivative of q(z). Determine x so that g(x) = 0.
-1, 0
Let v(p) = -10*p**3 + 10*p**2 - 2*p - 4. Let o(n) = -21*n**3 + 21*n**2 - 5*n - 8. Let i(f) = 6*o(f) - 13*v(f). Factor i(g).
4*(g - 1)**2*(g + 1)
Let 61 - 27 - b**2 - 25 - 8*b = 0. What is b?
-9, 1
Let r(j) be the first derivative of -1 + 0*j + 0*j**3 + j**2 - 1/2*j**4. Factor r(a).
-2*a*(a - 1)*(a + 1)
Let o(i) = i. Let y be o(-7). Let r(s) = -s - 2. Let m be r(y). Factor -5*p**3 + 3*p**5 + 4*p**m + 3*p**4 - 2*p + 0*p - 9*p**2 + 6*p**4.
p*(p - 1)*(p + 1)**2*(7*p + 2)
Suppose -2*i - 19 = -5*k, -i = -k + 3*i + 11. Suppose 6 = 5*g - k*g. Suppose 1/4*p**g - 1/2*p**2 + 0 + 1/4*p = 0. What is p?
0, 1
Let b(v) = 2*v**3 - 12*v**2 + 6*v - 2. Let f(p) = p**3 + p + 1. Let g(n) = b(n) + 2*f(n). Factor g(y).
4*y*(y - 2)*(y - 1)
Let k(h) = -h**2 + 7*h + 4. Let p be k(4). Let i be (-24)/64 + 86/p. Determine s so that 10/13*s - 2/13*s**i - 4/13*s**2 + 8/13*s**4 - 4/13 - 8/13*s**3 = 0.
-1, 1, 2
Let b(s) be the third derivative of s**8/112 - s**7/35 + s**5/10 - s**4/8 + 6*s**2. Factor b(m).
3*m*(m - 1)**3*(m + 1)
Let l(w) = w**3 - 3*w**2 + 2*w - 4. Let f be l(3