4*p**2 + 11*p**2.
2*p*(p - 1)**2*(3*p - 1)
Factor 0 + 10/3*v**2 - 10/3*v**4 + 8/3*v**3 - 3*v + 1/3*v**5.
v*(v - 9)*(v - 1)**2*(v + 1)/3
Factor -9/5*q + 0 + 6/5*q**2 - 1/5*q**3.
-q*(q - 3)**2/5
Let y(c) = -4*c**4 + 6*c**3 + 2. Let a = 27 + -24. Let d(b) = -b**4 - 1 + 5*b**3 - 4*b**a + 2 + b**2. Let w(u) = 2*d(u) - y(u). Suppose w(h) = 0. What is h?
0, 1
Let v be 23 - (-18 + 16 - -4*1). Suppose 18*g - v*g = 3*f - 21, -13 = -4*f - g. What is m in 0 - 16/5*m**f + 12/5*m**3 + 8/5*m**4 - 16/5*m - 4/5*m**5 = 0?
-1, 0, 2
Let n(j) be the first derivative of -1/4*j**4 + 0*j - 8/3*j**3 - 35 + 6*j**2 + 1/5*j**5. Determine v, given that n(v) = 0.
-3, 0, 2
Let a(x) be the first derivative of -1/10*x**2 - 9/20*x**4 + 1/3*x**3 + 7/25*x**5 + 0*x - 4 - 1/15*x**6. Factor a(u).
-u*(u - 1)**3*(2*u - 1)/5
Let f be 3/(-5) - (-204)/(-10). Let a be (-1)/3 - 91/f. Factor -a*s**2 - 5*s**2 - s**2 + 6*s**2 - 2*s**3.
-2*s**2*(s + 2)
Let c(k) be the second derivative of 5/9*k**3 + 2*k**2 - 1/18*k**4 + 0 - 11*k. Factor c(f).
-2*(f - 6)*(f + 1)/3
Let r = -20371 + 20373. Suppose 126/17*u - 98/17 + 2/17*u**3 - 30/17*u**r = 0. Calculate u.
1, 7
Let s(m) = -m**3 + 5*m**2 - 5*m - 1. Let c be (8/6)/((-4)/(-6)). Let g(p) = -p**3 + 6*p**2 - 6*p - 2. Let j(z) = c*g(z) - 3*s(z). Solve j(h) = 0.
1
Let u be 1*4 - 0*7/(-84). Let x(j) be the second derivative of 0 + 5/4*j**u + 1/7*j**7 + 4*j + 0*j**2 + 1/2*j**3 + 7/10*j**6 + 27/20*j**5. Factor x(o).
3*o*(o + 1)**3*(2*o + 1)
Let c = 1541/3 + -512. Let q(l) be the first derivative of -c*l**3 + 1 + 0*l - 3/4*l**4 - l**2. Let q(b) = 0. Calculate b.
-1, -2/3, 0
Suppose -d = -3*k - 2 + 6, -2*k = 5*d - 31. Suppose 2*u**d + 6*u**3 - 2*u**5 - 3*u**5 - 3*u = 0. What is u?
-1, 0, 1
Let d(m) be the second derivative of m**6/15 + m**5/20 - 2*m**4/3 + 5*m**3/6 + 14*m. Suppose d(n) = 0. Calculate n.
-5/2, 0, 1
Let s(o) be the second derivative of 0 - 3/14*o**3 + 1/14*o**4 - 3/70*o**6 + 3/14*o**2 + 1/98*o**7 + 3/70*o**5 - 5*o. Factor s(q).
3*(q - 1)**4*(q + 1)/7
Let c be 50/(-650) + (-27)/(-13). Factor -7/4*k + 1/2 + 3/4*k**c.
(k - 2)*(3*k - 1)/4
Let k(i) be the third derivative of -1/420*i**6 + 2/21*i**3 - 10*i**2 + 2/105*i**5 + 0*i + 0 - 5/84*i**4. Suppose k(b) = 0. Calculate b.
1, 2
Let w(x) = x**3 + 4*x**2 + x + 6. Let h be w(-4). Factor 12 + 0*c - 12*c + 6*c - h*c - 4*c**2.
-4*(c - 1)*(c + 3)
Let h(m) be the first derivative of 14 - 32/11*m - 8/11*m**2 - 2/33*m**3. Determine r so that h(r) = 0.
-4
Let x(a) be the second derivative of -6*a - 3*a**2 + 2/27*a**3 - 1/36*a**4 + 0*a**5 + 1/540*a**6 + 0. Let p(m) be the first derivative of x(m). Solve p(f) = 0.
-2, 1
Let v(h) = -2*h**3 - 2*h + 4. Let l(z) = 3*z + 17. Let u be l(-7). Let p be v(u). Let -p*w**3 + w - 4*w**2 + 20*w**2 + 15*w = 0. What is w?
-2/7, 0, 2/5
Let n(p) be the second derivative of -5*p**2 + 0 - 1/300*p**5 - 11*p + 1/30*p**3 + 0*p**4. Let y(g) be the first derivative of n(g). Solve y(j) = 0 for j.
-1, 1
Let v(c) be the first derivative of 9/2*c**4 + 1/3*c**6 + 0*c + 2*c**2 - 2*c**5 - 46 - 14/3*c**3. Let v(j) = 0. What is j?
0, 1, 2
Let r(b) = 15*b**3 + 198*b**2 - 9*b - 9. Let t(o) = -7*o**3 - 99*o**2 + 4*o + 4. Let x(q) = -4*r(q) - 9*t(q). Let x(j) = 0. What is j?
-33, 0
Suppose 2*d - 28 = 3*w, -2*w = 5*d + 167 - 218. Let v(t) be the first derivative of d + 18/5*t + 2/15*t**3 - 6/5*t**2. What is g in v(g) = 0?
3
Let f(x) = -x**3 + x**2 + x + 1. Let c(y) = -5*y**4 - 76*y**3 - 4*y**2 - 4*y - 4. Let o(w) = c(w) + 4*f(w). Determine h, given that o(h) = 0.
-16, 0
Let w(a) be the second derivative of 3*a**5/100 - a**3/10 + 52*a. Find n such that w(n) = 0.
-1, 0, 1
Let p(h) be the second derivative of -h**4/3 + 8*h**3/3 + 42*h**2 + h + 65. Factor p(a).
-4*(a - 7)*(a + 3)
Let b(y) be the third derivative of y**5/180 + 7*y**4/72 + 2*y**3/3 - 27*y**2. Factor b(l).
(l + 3)*(l + 4)/3
Let r(h) be the third derivative of h**7/180 - h**6/180 - 17*h**4/24 - 11*h**2. Let a(l) be the second derivative of r(l). Factor a(q).
2*q*(7*q - 2)
Let b(s) be the first derivative of -s**6/6 + s**5/2 + 5*s**4/12 - 5*s**3/3 + 12*s + 9. Let p(v) be the first derivative of b(v). Factor p(n).
-5*n*(n - 2)*(n - 1)*(n + 1)
Factor 2*i + 20/11 + 2/11*i**2.
2*(i + 1)*(i + 10)/11
Suppose 53 = -2*t + 21. Let s be (8/6)/(6 + t/3). Factor 0*l + 1/7*l**s + 0 - 3/7*l**3.
-l**2*(3*l - 1)/7
Factor -11/8*q**3 - 2*q + 8 - 9/2*q**2 - 1/8*q**4.
-(q - 1)*(q + 4)**3/8
Suppose 0 = -4*z - 2*f + 14, 5*f - 2 - 3 = 0. Let v be -1*((-117)/26 - (0 - 0)). Suppose -v*r**2 + z*r + 0 + 3/2*r**3 = 0. Calculate r.
0, 1, 2
Let v be ((-24)/(-14))/((-198)/(-18) - 8). Factor 1/7*h**3 - 1/7*h - 4/7 + v*h**2.
(h - 1)*(h + 1)*(h + 4)/7
Suppose -c + 0*h = -3*h - 2, -2*h + 12 = 2*c. Suppose -9 = -3*y + c*s + 22, y - 5*s = 27. Factor 4/5*q**y - 2/5*q + 0.
2*q*(2*q - 1)/5
Let 4*x**3 - 5 + 39*x**2 + 24*x - 33*x**2 - x**4 - 28*x = 0. What is x?
-1, 1, 5
Let r(s) = s + 1. Let z be r(3). Suppose -16 = -2*c + 3*f, -5*c + 9 = -z*f - 17. Factor -12*h - 10*h**3 + 4*h**3 + 2 + 12*h**c + 1 + 3*h**2.
-3*(h - 1)**2*(2*h - 1)
Let c(q) be the second derivative of q**4/54 + 32*q**3/27 - 126*q - 2. Let c(p) = 0. What is p?
-32, 0
Let h(t) = t**4 - t**3 + 2*t**2 - 1. Let n(z) = 3*z**5 + 8*z**4 - 30*z**3 + 2*z**2 + 29*z - 14. Let y(a) = 2*h(a) + n(a). Find o, given that y(o) = 0.
-16/3, -1, 1
Let a(b) = 2*b**2 + 13*b + 9. Let o be a(-7). Factor 6*p**3 - o*p + 4 - 15 + 9*p**2 - 1 + 4*p - 3*p**4.
-3*(p - 2)**2*(p + 1)**2
Let m be ((-12)/(-30))/(7 + (-676)/100). Factor 0 + 2/3*z - m*z**3 - z**2.
-z*(z + 1)*(5*z - 2)/3
Let s(t) = t**2 + 16*t - 18. Let c be s(-18). Solve 26*i**5 - 3*i + 0*i**4 - 45*i**5 + 2*i**2 - 2*i**4 + 4*i**3 + c*i**5 = 0 for i.
-3, -1, 0, 1
Let t(m) = -2*m + 8. Let f be t(13). Let j be 2/f - 136/(-576). Factor -1/8*i**4 + 1/8*i**2 - 1/8*i**3 + 0*i + 0 + j*i**5.
i**2*(i - 1)**2*(i + 1)/8
Let j(v) be the third derivative of -v**6/540 + 11*v**5/60 - 145*v**4/216 + 8*v**3/9 + 35*v**2 + 10*v. Solve j(t) = 0.
1/2, 1, 48
Let p(h) be the second derivative of 0 + 0*h**3 - 36*h - 4*h**2 + 1/6*h**4. Factor p(v).
2*(v - 2)*(v + 2)
Let t(u) = u. Let b be 3 - (0 + -1)*0. Let h be t(b). Solve -4*q**3 - h*q**2 - 2*q**3 - 6*q**4 + 3*q**4 = 0.
-1, 0
Suppose 118*r - 138 = 49*r. Let j(c) be the first derivative of -49/6*c**3 + 21/2*c**2 - r - 9/2*c. Determine m so that j(m) = 0.
3/7
Let y(g) = 16*g**2 + 95*g - 4. Let z be y(-6). Solve 0 + 2/3*d + 1/3*d**4 + 1/3*d**5 - d**3 - 1/3*d**z = 0.
-2, -1, 0, 1
Suppose -4*p + k + 31 = 0, 0 = p - 3*k - k + 11. Let h(o) = o**3 - 10*o**2 + 10*o - 7. Let u be h(p). Factor -3/2 - 3/2*r**4 - 6*r - 6*r**3 - 9*r**u.
-3*(r + 1)**4/2
Factor 0 + 27888/5*u**2 - 2/5*u**5 - 14444/5*u**3 - 13778/5*u + 336/5*u**4.
-2*u*(u - 83)**2*(u - 1)**2/5
Determine u so that -102*u**3 + 153*u**3 - 475*u + 4*u**4 + 1432*u**2 - 2592 - 199*u**3 - 533*u = 0.
-1, 2, 18
Determine q, given that 15 + 10*q**2 + 93*q - 67 - 238*q + 20 - 43 = 0.
-1/2, 15
Factor 8125*o**5 + 2366*o**3 + 721*o**2 + 81*o**2 + 318*o**2 + 11522*o**4 + 80*o + 3034*o**3 - 522*o**4.
5*o*(5*o + 2)**3*(13*o + 2)
Let l(s) be the second derivative of -s**4/6 + 32*s**3 + 97*s**2 - 319*s. What is r in l(r) = 0?
-1, 97
Let j be 15/(-10)*26/(-6). Let m(x) = x**3 + x**2 + 43*x + 2. Let c be m(0). Factor j*b**3 + 3*b**4 + c*b + 6*b**2 + 1/2*b**5 + 0.
b*(b + 1)**2*(b + 2)**2/2
Factor 899*d - 890*d - 9*d**2 - 6*d**2.
-3*d*(5*d - 3)
Let h(c) = c**3 + c**2 - c + 1. Let v = -36 - -35. Let i(g) = 12*g**3 + 3*g**2 - 12*g + 15. Let k(q) = v*i(q) + 9*h(q). Suppose k(o) = 0. Calculate o.
-1, 1, 2
Suppose 110*u = 59*u + 102. Determine p so that 6/13*p**3 + 0 + 2/13*p**u - 4/13*p = 0.
-1, 0, 2/3
Let d(k) = -k**3 + 6*k**2 - 4*k - 2. Let y be d(5). Factor -12 + 3*b**y + 8*b - 20*b**2 + 2*b**2 + 19*b.
3*(b - 4)*(b - 1)**2
Let c(h) be the second derivative of 4*h + 0 + 19/3*h**4 - 32/21*h**7 + 112/15*h**6 + 0*h**2 - 4/3*h**3 - 57/5*h**5. Suppose c(u) = 0. What is u?
0, 1/4, 1, 2
Let y = 6643 + -6641. Find f, given that -1/2*f**y + 0 - f = 0.
-2, 0
Let y(v) = v**3 - 2*v**2 - v - 4. Let t be y(3). Factor 20 + 2*k**3 - 16 + 0*k**3 - 4*k**t - 4*k + 2*k**3.
4*(k - 1)**2*(k + 1)
What is p in 2/9*p**5 + 44/9*p**3 - 22/9*p**4 + 0 - 16*p + 40/3*p**2 = 0?
-2, 0, 1, 6
Suppose -3*d = v + 4, 5*v + 2*d = d + 8. Let g = 6 - v. What is s in 