(q). Factor c(k).
2*k*(3*k + 2)*(11*k + 2)/7
Suppose -14*k + 1070 - 1042 = 0. Let m(q) be the second derivative of -5/12*q**4 - 13*q + 0 + 10*q**k - 5/2*q**3. Suppose m(n) = 0. What is n?
-4, 1
Suppose 5*z + 9 = 4*u + 37, -3*z + 3*u + 9 = 0. Factor -40/3*y**2 - 4/3*y**3 + 92/3*y - z.
-4*(y - 1)**2*(y + 12)/3
Let r(g) = -17*g**3 - g**2 + 2*g. Let m(t) = 52*t**3 + 8*t**2 - 322*t - 320. Let b(u) = -2*m(u) - 6*r(u). What is h in b(h) = 0?
-20, -1, 16
Let j be (4/(-14))/(34/7 - 5). Let f = -91 - -94. Suppose t**j + 1/3*t - 1/3*t**f - 1 = 0. What is t?
-1, 1, 3
What is t in -4003*t**3 + 267*t**4 - 345*t**3 + 68*t**5 - 25*t**5 + 549*t**4 + 7312*t**2 - 4464*t + 896 - 27*t**5 = 0?
-56, 1/2, 2
Suppose 4/3 - 4/3*a**2 + 2/3*a - 2/3*a**3 = 0. Calculate a.
-2, -1, 1
Let u(b) = 2*b**2 + 31*b - 183. Let y be u(12). What is l in y*l + 4*l**2 + 481*l - 898*l + 176 = 0?
-11, -4
Let r = -30 + 46. Suppose 5*n = -2*a + 30, 2*n - 12 = -2*a + 6. Factor 20*y - r*y**3 + 4 + a*y**4 - 3 - 4*y**3 + 15*y**2 - 21.
5*(y - 2)**2*(y - 1)*(y + 1)
Find n such that 402*n**4 - 56*n**3 - 166*n**2 + 62*n**2 + 2*n**5 - 352*n**4 = 0.
-26, -1, 0, 2
Solve 11*t**3 - 96*t**2 + 1013 - 924*t - 3365 - 14*t**3 = 0.
-14, -4
Let q(t) be the first derivative of -t**7/28 + 9*t**5/40 + t**4/4 + 330*t - 217. Let k(x) be the first derivative of q(x). Factor k(j).
-3*j**2*(j - 2)*(j + 1)**2/2
Factor 692/17*d**2 + 0 - 240*d - 2/17*d**3.
-2*d*(d - 340)*(d - 6)/17
Solve 2*z + 12*z + 30*z - 8*z**2 + 2*z + 30 - 5*z - 19*z**3 = 0 for z.
-1, 30/19
Let z be ((-2)/21)/(16272/(-18984)). Determine s so that -5/9*s**3 + 0*s + 0*s**2 + 2/3*s**4 - z*s**5 + 0 = 0.
0, 1, 5
Let r = -415 - -417. Factor -4 + j**r - 4 - 1 - 1 + 9*j.
(j - 1)*(j + 10)
Let s(p) be the second derivative of -3/10*p**5 + p**3 + p**4 - 1 + 21*p - 1/10*p**6 - 9/2*p**2. Find j, given that s(j) = 0.
-3, -1, 1
Let c be (-14 - (14 + -22))*(-7)/105. Factor -2/5*n**4 + c*n - 2/5*n**3 + 0 + 2/5*n**2.
-2*n*(n - 1)*(n + 1)**2/5
Let a(i) = -4*i**3 + i**2 - i + 1. Let n(r) = r**4 - 59*r**3 + 3113*r**2 + 10457*r - 14. Let z(l) = 14*a(l) + n(l). Factor z(p).
p*(p - 59)**2*(p + 3)
Let n be (12/171)/(3996/189810). Find c, given that -2*c**2 + n - c - 1/3*c**3 = 0.
-5, -2, 1
Let g = -130 + 218. Suppose -g*t = -92*t + 88. Factor -5*w - 28*w**3 + 4 + 3*w - t*w**2 - 18*w**2 + 6*w**2.
-2*(w + 1)*(2*w + 1)*(7*w - 2)
Let x be 116/(-8) + 1/(-2). Let n be x/10*20/(-6). Solve -6*m**n + m**3 + 9*m**3 + m**5 - 5*m = 0 for m.
-1, 0, 1
Let i be (91/56 - 2)*(-602)/(-9). Let a = i + 76/3. Find p such that 1/4*p**2 + 0 - a*p = 0.
0, 1
Let i(h) = -7*h**2 + 9909*h + 12. Let q(g) = -9*g**2 + 9913*g + 14. Let t(m) = -7*i(m) + 6*q(m). Factor t(x).
-5*x*(x + 1977)
Suppose 27/2*m**2 + 93/2*m + 45/2 - 21/2*m**3 = 0. What is m?
-1, -5/7, 3
Let g(z) be the second derivative of 14*z**6/15 + 74*z**5/5 - 856*z**4/3 + 3008*z**3/3 + 2304*z**2 - 3*z - 154. Let g(t) = 0. What is t?
-18, -4/7, 4
Let f(a) = 6*a - 63. Let t be f(11). Factor -13*h + h**4 - h - 2*h**t - 12*h**2 + 62 - 67.
(h - 5)*(h + 1)**3
Let f(c) be the second derivative of -c**7/840 + c**6/24 - 5*c**5/8 - c**4/6 - c**2 + c - 1. Let t(i) be the third derivative of f(i). Factor t(y).
-3*(y - 5)**2
Let y(c) be the first derivative of -49 - 5/9*c**2 - 1/18*c**4 - 8/27*c**3 - 4/9*c. Factor y(i).
-2*(i + 1)**2*(i + 2)/9
Let x = 1038 + -1089. Let k be ((-34)/x)/(4/12). Factor -15/4*w**2 + k*w - 1/4*w**4 + 4 - 2*w**3.
-(w - 1)*(w + 1)*(w + 4)**2/4
Suppose 2*r - 258 = -2*y, -3*r + 125 = -2*y + 3*y. Let f = y - 128. Let 0 + 1/2*x - x**2 + 1/2*x**f = 0. What is x?
0, 1
Let j(r) be the third derivative of r**9/15120 + r**8/504 + 5*r**7/252 + r**5/30 + 28*r**2. Let h(z) be the third derivative of j(z). Factor h(k).
4*k*(k + 5)**2
Let z(p) be the second derivative of -3*p**5/40 + 201*p**4/4 - 41193*p**3/4 + 118803*p**2 - 2*p - 2011. Factor z(q).
-3*(q - 199)**2*(q - 4)/2
Let x(b) be the first derivative of -b**6/8 + 117*b**5/20 - 1377*b**4/16 + 1445*b**3/4 - 1357. Determine y, given that x(y) = 0.
0, 5, 17
Let a(q) be the second derivative of 116*q + 8*q**2 - 1/6*q**4 - 2/3*q**3 + 0. Solve a(v) = 0 for v.
-4, 2
Suppose -247*r = 125*r - 29 - 715. Factor -h + 0 + 5/2*h**r + 1/2*h**4 - 2*h**3.
h*(h - 2)*(h - 1)**2/2
Factor -4*u - u + 4633*u**3 - 48*u**2 - 4617*u**3 + 4*u**4 + 5*u.
4*u**2*(u - 2)*(u + 6)
Let z(y) be the second derivative of -1/6*y**6 + 0*y**2 - 16 - y + 11/12*y**4 - 1/10*y**5 + 1/21*y**7 - y**3. Factor z(q).
q*(q - 2)*(q - 1)**2*(2*q + 3)
Let r(p) be the third derivative of -30*p + p**2 + 0 + 0*p**4 + 0*p**3 - 1/200*p**6 - 3/100*p**5. Factor r(a).
-3*a**2*(a + 3)/5
What is o in 25*o**4 - 180 - 12*o**5 + 7*o**5 - 6969*o - 145*o**2 + 6609*o + 65*o**3 = 0?
-2, -1, 3, 6
Let t = 3131 + -3126. Let k(m) be the third derivative of -1/108*m**4 + 0 + 2/27*m**3 - 1/270*m**t - 15*m**2 + 0*m. Let k(d) = 0. What is d?
-2, 1
Let q(t) = -24*t**2 + 47*t**2 - 3 - 15*t - 24*t**2. Let l be q(-6). Factor -l*y**2 + 9*y**4 + 149*y**2 - 28*y**3 - 7*y**4.
2*y**2*(y - 7)**2
Suppose -3*j + 1339*i + 17 = 1338*i, 23 = 5*j - i. Let 2/13*r**j + 0*r**2 - 14/13*r + 12/13 = 0. Calculate r.
-3, 1, 2
Let r(f) be the first derivative of f**5/25 - f**4/4 - 19*f**3/5 - 19*f**2/2 - 44*f/5 + 8200. Determine m, given that r(m) = 0.
-4, -1, 11
Suppose 0 = 35*s + 20*s - 220. Let k(t) be the third derivative of 5*t**3 + 0 + 5/24*t**s + 0*t + t**2 - 1/12*t**5. Solve k(v) = 0 for v.
-2, 3
Let a(l) be the third derivative of -l**5/48 - 135*l**4/32 + 415*l**3/12 + 4*l**2 + 352*l. Determine i so that a(i) = 0.
-83, 2
What is k in 40*k**4 + 5/2*k**5 - 40*k**2 + 0 - 185/2*k**3 + 90*k = 0?
-18, -1, 0, 1, 2
Let j(z) be the third derivative of z**7/504 + z**6/36 + z**5/8 - 145*z**4/24 - z**2 - 132*z. Let l(n) be the second derivative of j(n). Factor l(a).
5*(a + 1)*(a + 3)
Find o such that 8*o - o**4 - 2/7*o**3 + 7*o**2 + 12/7 = 0.
-2, -1, -2/7, 3
Let s(t) = -1543*t + 24703. Let f be s(16). Solve 93/2*z - 99/2*z**2 - f - 3/2*z**4 + 39/2*z**3 = 0.
1, 10
Let m(h) be the third derivative of -17*h**7/35 + h**6/30 + h**2 - 3807*h. Suppose m(a) = 0. Calculate a.
0, 2/51
Let j(f) be the third derivative of -f**6/30 + f**5/30 + f**4/4 + 2*f**3/3 + 22*f**2. Let n be j(-2). Factor -33*p + 0*p**2 + 2*p**4 + n*p + p**5 - 2*p**2.
p*(p - 1)*(p + 1)**3
Factor 116/3 + 1/3*m**3 - 112/3*m + 25/3*m**2.
(m - 2)**2*(m + 29)/3
Let y(u) be the second derivative of u**6/51 + 23*u**5/170 - 15*u**4/17 - 368*u**3/51 + 160*u**2/17 - 481*u + 3. Determine m, given that y(m) = 0.
-5, -4, 2/5, 4
Let l(j) be the second derivative of -9 + 9/50*j**5 - 7/10*j**3 + 2/5*j**4 - 4/25*j**6 + 1/70*j**7 + j + 0*j**2. Determine n so that l(n) = 0.
-1, 0, 1, 7
Let w(n) = n**4 + 3*n**3 + 72*n**2 - 204*n. Let m(c) = -6*c**4 - 17*c**3 - 361*c**2 + 1022*c. Let r(s) = -2*m(s) - 11*w(s). Factor r(p).
p*(p - 5)*(p - 4)*(p + 10)
Let j(u) be the second derivative of -u**6/600 + 13*u**5/100 - 5*u**4/8 - 133*u**3/6 - 159*u. Let r(q) be the second derivative of j(q). Factor r(d).
-3*(d - 25)*(d - 1)/5
Let x(l) = -l**2 + 10*l + 28. Let u be x(12). Suppose 0 = 11*p - 9*p - u. Let -21*v**3 + 8*v + 5*v**3 + 20*v - 8 + 20*v**p = 0. What is v?
-1, 1/4, 2
Let g(i) be the second derivative of -2*i**7/231 - 17*i**6/330 - 7*i**5/55 - i**4/6 - 4*i**3/33 - i**2/22 - 4355*i + 1. Determine c so that g(c) = 0.
-1, -1/4
Let w(y) be the first derivative of -2*y**3/3 - 4*y**2 + 10*y + 1446. Factor w(x).
-2*(x - 1)*(x + 5)
Let p(v) be the second derivative of v**4/42 + 449*v**3/21 + 64*v**2 - 2*v - 1233. Factor p(t).
2*(t + 1)*(t + 448)/7
Factor 6/7*d**2 - 102/7*d + 6/7*d**3 + 90/7.
6*(d - 3)*(d - 1)*(d + 5)/7
Let x(s) = -s + 18. Let l be x(0). Suppose -2*w - 3*w = 3*r - 26, 5*w - 12 = -r. Solve -4*u**5 + 2*u**2 - l*u**3 - 3*u**4 + 22*u**3 - 6*u**2 + r*u**4 = 0 for u.
-1, 0, 1
Let a(g) be the first derivative of g**3 + 87*g**2/2 + 84*g - 7046. What is w in a(w) = 0?
-28, -1
Let z(u) be the third derivative of u**8/112 + 8*u**7/35 + 43*u**6/40 - 3*u**5 + 8*u**2 - 11*u. Find i, given that z(i) = 0.
-12, -5, 0, 1
Let p(u) be the third derivative of u**7/70 - 27*u**6/20 + 51*u**5/5 - 25*u**4 - 2*u**2 + 253. Determine c, given that p(c) = 0.
0, 2, 50
Let j(y) = 3*y**2 + 249*y + 3906. Let f be j(-62). Determine a, given that -1/2*a**4 + 0*a + f + 3*a**3 - 4