-8/5*r + 0*r**2 + q*r**3 - 2/5*r**4 + 0 = 0. Calculate r.
-1, 0, 2
Solve 2*v**4 + 6*v - 20/3*v**3 + 4/3*v**2 - 10/3 + 2/3*v**5 = 0 for v.
-5, -1, 1
Let q(s) = 2*s**2 - 81*s + 821. Let f be q(21). Factor 0*a + 0 + 2/7*a**f.
2*a**2/7
Let w(o) be the first derivative of o**4/12 - 6*o**3 + 17. Factor w(q).
q**2*(q - 54)/3
Let y be (-2)/5*(3 + -8). Suppose -d - 6 = 3*c, -4*d + y*d - c = 2. Solve d*k**2 + 0*k - 1/4*k**3 + 0 = 0 for k.
0
Let j be 0 + 0 + (-12 - -8). Let p be j + 1 + ((-95)/(-20) - 1). Factor p*h**2 + 1 + 13/4*h.
(h + 4)*(3*h + 1)/4
Let h(k) = 3*k + 98. Let b be h(-27). Let q be b + -8 + -8 + 4/(-6). What is o in -10/3*o**2 - 5/3*o**4 + 10/3*o**3 + 5/3*o - 1/3 + q*o**5 = 0?
1
Let h(i) = -35*i**2 + 55*i - 4. Let f(j) = -1. Let s(g) = -f(g) - h(g). Let t(k) = -9*k**2 + 14*k - 1. Let u(m) = -4*s(m) - 15*t(m). Factor u(n).
-5*(n - 1)**2
Let r be (-46)/207 + (-376)/(-72). Solve -99/8*c - 45/4*c**3 + 27/8 + 69/4*c**2 + 27/8*c**4 - 3/8*c**r = 0 for c.
1, 3
Let t(h) = -3*h**4 - 12*h**3 - 3*h**2 + 24*h - 12. Let r = 9 - 8. Let a(v) = -v**4 - v**3 + v**2. Let q(l) = r*t(l) - 6*a(l). Solve q(f) = 0 for f.
-2, 1, 2
Let d(y) be the first derivative of 2*y**3/27 - 172*y**2/9 + 14792*y/9 + 158. Factor d(n).
2*(n - 86)**2/9
Factor -33*p**2 - 27*p**2 + 68*p**2 + p**3 - 55*p**2.
p**2*(p - 47)
Factor -507/2*t**2 - 39/2*t - 3/8.
-3*(26*t + 1)**2/8
Find q, given that 4/5*q**2 + 0 - 4/5*q**4 + 1/5*q**5 + 2/5*q**3 - 3/5*q = 0.
-1, 0, 1, 3
Let w = 19 + -17. Suppose 2 + w = 2*p. Suppose -1/4*l**4 + 0 - 1/4*l + 1/4*l**p + 1/4*l**3 = 0. What is l?
-1, 0, 1
Suppose 17*w**2 - 3*w**3 - 12*w + 10*w**2 - 11*w**2 - w**3 = 0. Calculate w.
0, 1, 3
Let d(g) = 16*g**2 - 78*g + 122. Let y(l) = -172*l**2 + 856*l - 1344. Let c(i) = 32*d(i) + 3*y(i). Factor c(b).
-4*(b - 16)*(b - 2)
Let j(s) = 8*s**2 - 2*s - 210. Let h(z) = 9*z**2 - z - 213. Let o(c) = -6*h(c) + 7*j(c). Let o(b) = 0. Calculate b.
-8, 12
Suppose 9*a - 144 = a. Suppose 4*l - a = -2*i, i + 2*i - 3*l = 0. Solve -7*o**i - 4*o**2 + 3*o**3 + 2 + 0*o**3 + 4*o + 2 = 0 for o.
-1, 1
Suppose 1/4*k**2 + 55/4 + 4*k = 0. What is k?
-11, -5
Let z(x) be the first derivative of -x**3/9 - 16*x**2/3 + 68*x/3 - 622. Factor z(l).
-(l - 2)*(l + 34)/3
Let n = -15/88 - -521/2024. Find m, given that -2/23*m - n*m**2 + 0 = 0.
-1, 0
Let w(s) = -5*s + 1. Let j be w(-1). Let c be (j/14)/((-1)/(-7)). Factor 3*g**2 - 4*g**2 - g**2 - 5*g**c.
-g**2*(5*g + 2)
Suppose 198 - 2 = 126*q - 77*q. Let -12/5*n**3 + 4/5*n**q + 0 + 12/5*n**2 - 4/5*n = 0. Calculate n.
0, 1
Let y be 209/((-110)/10) - -21. Suppose -28/5*m**4 + 36/5*m**3 + 0 + 0*m - 8/5*m**y = 0. What is m?
0, 2/7, 1
Let b(y) = 2*y**2 - y - 15. Let z be b(-5). Factor -165*s**2 - 31 + 200*s**2 - 5*s**3 - 49 - z*s.
-5*(s - 4)**2*(s + 1)
Factor 8*h**2 + 48 + 6*h - 182*h + 8*h**2 + 12*h**2.
4*(h - 6)*(7*h - 2)
Let r(t) be the first derivative of -5*t**7/42 + t**5 - 5*t**4/6 - 5*t**3/2 + 5*t**2 - 6*t - 9. Let i(l) be the first derivative of r(l). Factor i(w).
-5*(w - 1)**3*(w + 1)*(w + 2)
Let k = -172/3 + 1147/20. Let g(a) be the second derivative of -3*a - 1/18*a**3 + 1/36*a**4 - 1/90*a**6 + 0 + 0*a**2 + k*a**5. Factor g(m).
-m*(m - 1)**2*(m + 1)/3
Let n(v) be the third derivative of 0*v**4 + 0*v**5 + 1/15*v**6 - 2/35*v**7 + 0 + 0*v + 1/84*v**8 + 10*v**2 + 0*v**3. Factor n(j).
4*j**3*(j - 2)*(j - 1)
Let a(m) be the third derivative of -m**8/2520 - m**7/630 - m**6/540 + 4*m**3 + 22*m**2. Let j(y) be the first derivative of a(y). Solve j(q) = 0 for q.
-1, 0
Suppose b - 141 = -3*k + 4*b, 2*b - 242 = -5*k. Let v = k + -30. Suppose v*s**5 - 16*s**5 - 3*s**4 - s**4 + 2*s**3 = 0. What is s?
0, 1
Let n be 10/(0 - 1 - 1). Let r = n + 17. Suppose 17 - r - 8*w + 7*w**2 - w**3 - 21 = 0. Calculate w.
-1, 4
Let z be (7 + -8)*(-4 - -2). Let t(m) be the second derivative of 4/9*m**3 - 1/10*m**5 + 0*m**4 + 7*m - 1/45*m**6 + 0*m**z + 0. Let t(x) = 0. Calculate x.
-2, 0, 1
Let g(i) be the third derivative of -i**6/540 - 5*i**5/54 - 187*i**4/108 - 121*i**3/9 - 21*i**2 - 5. Factor g(j).
-2*(j + 3)*(j + 11)**2/9
Find x such that 68*x + 38 - 348*x - 15*x**3 + 315*x**2 + 5 + 15*x**5 + 17 - 95*x**4 = 0.
-2, 1/3, 1, 6
Let p(l) be the second derivative of -2/3*l**4 + 7/6*l**3 - 1/42*l**7 - l**2 + 1/10*l**5 + 1/15*l**6 + 0 - 6*l. Factor p(i).
-(i - 1)**4*(i + 2)
Suppose -8*l**4 - l**2 + 6*l**2 + 24 + l**5 + 4*l**3 - 5*l**2 + 26*l**2 + 5*l**3 - 52*l = 0. What is l?
-2, 1, 2, 6
Factor 0 + 1/11*n**4 + 0*n + 4/11*n**3 + 3/11*n**2.
n**2*(n + 1)*(n + 3)/11
Determine j, given that -1/2 + 0*j**2 - 1/4*j**3 + 3/4*j = 0.
-2, 1
Let i(j) = -j**3 + 5*j**2 + j - 4. Let b be i(2). Let x(n) be the first derivative of -2/21*n**3 - 1/7*n**2 + 0*n + b. Let x(f) = 0. Calculate f.
-1, 0
Suppose 0 + 0*b - 4/5*b**5 + 6*b**4 - 14/5*b**2 - 12/5*b**3 = 0. Calculate b.
-1/2, 0, 1, 7
Suppose -1 = 3*c - 7. Let s = 937/3 - 311. Determine o, given that -s*o + 0 - 2*o**c + 10/3*o**3 = 0.
-2/5, 0, 1
Suppose -3*x + 20 = 4*g, x + g - 20 = -3*g. Let z(h) be the second derivative of -1/3*h**4 + 0*h**2 + 0*h**3 + x - 7*h + 1/5*h**5. Solve z(c) = 0.
0, 1
Let q(y) be the first derivative of -32/5*y - 2/15*y**3 + 8/5*y**2 - 19. Factor q(k).
-2*(k - 4)**2/5
Let d(l) be the first derivative of -l**6/21 + 18*l**5/35 - 3*l**4/2 + 38*l**3/21 - 6*l**2/7 - 333. Factor d(n).
-2*n*(n - 6)*(n - 1)**3/7
Suppose 25/4 + 5/4*v**2 - 15/2*v = 0. Calculate v.
1, 5
Let q(d) be the first derivative of 2*d**5/85 - 11*d**4/34 + 82*d**3/51 - 61*d**2/17 + 60*d/17 + 249. Suppose q(m) = 0. What is m?
1, 2, 3, 5
Let o(y) = -10*y**3 - 75*y**2 - 60*y + 25. Let l(v) = 11*v**3 + 74*v**2 + 55*v - 24. Let k(z) = 5*l(z) + 4*o(z). What is h in k(h) = 0?
-4, -1, 1/3
Let m be 482/(-154) + (-11)/77 + 4. Solve -12/11*h**3 - 2/11*h**5 + m*h**4 - 2/11*h + 0 + 8/11*h**2 = 0 for h.
0, 1
Let w(t) be the first derivative of 1/5*t**3 - 4/5*t + 2/5*t**2 - 1/5*t**4 - 11 + 1/25*t**5. Suppose w(k) = 0. What is k?
-1, 1, 2
Suppose 3*r - 14 = r. Suppose 0 = r*u - 3*u - 12. Solve n**3 + 9*n**2 - 12 - n**3 - u*n**3 = 0.
-1, 2
Let a(m) be the first derivative of m**4/14 + 20*m**3/21 + 17*m**2/7 - 8*m - 139. Determine x, given that a(x) = 0.
-7, -4, 1
Suppose 0 = 10*d - 6*d - 352. Let g = 91 - d. Factor -1/5*b**2 - 1/5*b**g + 0*b + 0.
-b**2*(b + 1)/5
Let f(b) be the third derivative of -b**8/15120 + b**7/11340 + b**6/810 + b**5/6 + 2*b**2. Let q(j) be the third derivative of f(j). Solve q(l) = 0 for l.
-2/3, 1
Let i = 28369 - 28369. Let n = 8 - 6. What is x in -1/8*x**n + i + 1/4*x = 0?
0, 2
Let l(m) be the first derivative of 4*m**3/3 + 16*m**2 - 36*m - 22. Factor l(i).
4*(i - 1)*(i + 9)
Let c be (25 + -15 + -10)/(-5). Factor -1/2*v**5 - 3/2*v**4 + 0 + c*v + 2*v**3 + 0*v**2.
-v**3*(v - 1)*(v + 4)/2
Let a(d) be the third derivative of 27/8*d**6 + 25/3*d**4 + 0*d + 19*d**2 + 0 + 10/3*d**3 + 39/4*d**5. What is t in a(t) = 0?
-1, -2/9
Let c(k) be the third derivative of k**6/10 - 3*k**5/4 + 17*k**4/8 - 3*k**3 + 153*k**2. Factor c(d).
3*(d - 2)*(d - 1)*(4*d - 3)
Let v(n) = n + 5. Let i be v(-2). Factor -10*x**2 - 17*x**i + 7*x**3 + 5*x**4 + 5*x**2 + 10*x.
5*x*(x - 2)*(x - 1)*(x + 1)
Let w(x) = -12*x**2 - 36*x - 24. Let t(o) = 12 + 24*o + 8*o**2 + 16 - 12. Let i be (-1)/8 - (-1170)/144. Let s(y) = i*t(y) + 5*w(y). Factor s(c).
4*(c + 1)*(c + 2)
Let a(r) be the first derivative of -5*r**3 - 10 - 18*r - 51/2*r**2. Factor a(i).
-3*(i + 3)*(5*i + 2)
Let z(u) be the second derivative of -u**7/350 + u**6/100 - u**5/100 - u**2/2 - 8*u. Let d(s) be the first derivative of z(s). Factor d(j).
-3*j**2*(j - 1)**2/5
Let o(q) be the second derivative of -6*q**7/7 - 2*q**6/5 - q**5/20 - 524*q. Find g such that o(g) = 0.
-1/6, 0
Let u(b) = 36*b**2 - 488*b + 136. Let w(z) = z + 1. Let k(q) = u(q) - 24*w(q). Find v such that k(v) = 0.
2/9, 14
Determine r, given that -2/11*r**4 + 0 + 2/11*r**2 + 70/11*r**3 - 70/11*r = 0.
-1, 0, 1, 35
Let d be (-7)/(-4) + (21/12)/7. Factor -2*q**2 - 2*q + q**3 + d*q + q.
q*(q - 1)**2
Let a = -15 + 19. Let v(n) be the first derivative of 68/5*n**5 + 1 - 4*n + 3*n**6 + 23*n**a + n**2 + 16*n**3. Solve v(f) = 0 for f.
-1, 2/9
Factor -7*w**2 + 14*w - 6*w - 21*w**2 - 16*w**3 + 0*w**2.
-4*w*(w + 2)*(4*w - 1)
Let z = 5149 - 5149. Suppose z - 3/8*m + 3/8*m**2 = 0. Calculate m.
0, 1
Let u(w) = 22*w**4 - 269*w**