 6*j = 1 - 25. Let c(q) = q**2 - 1. Let w = -1 - 0. Let f(y) = -5*y**2 + 2*y + 7. Let p(r) = j*c(r) + w*f(r). What is x in p(x) = 0?
-1, 3
What is q in 1/8*q**3 - 1/8*q + 5/4*q**2 - 5/4 = 0?
-10, -1, 1
Suppose 271*l - 2964 - 3097 = -1183. Let 88*a**4 + 4/3 + 785/6*a**3 + 121/6*a**5 + l*a + 239/3*a**2 = 0. Calculate a.
-2, -1, -2/11
Suppose -23 = 3*k - 4*l, -22*l + 19*l = -24. What is i in 2/3*i**2 + 4/3*i**k - 4/3*i + 0 - 2/3*i**4 = 0?
-1, 0, 1, 2
Let w = 26 + -20. Let u(k) be the third derivative of 0*k**4 + 0*k + 0*k**3 + 1/210*k**5 + 1/735*k**7 + 1/210*k**w + 0 + k**2. Factor u(q).
2*q**2*(q + 1)**2/7
Let y be (-1 - -3 - 1) + 3. Determine p so that -78*p**3 + 35*p**2 + 10*p - 10*p**5 + 108*p**3 - 7*p**4 + 2*p**y = 0.
-1, -1/2, 0, 2
Determine c so that 18*c**4 - 30*c**2 + 40 + 16*c**4 + 16*c**3 - 32*c**4 - 8*c - 20*c**3 = 0.
-2, 1, 5
Suppose 4*k - 8 + 0 = 0. Let a(h) = 3*h**3 - 1 + 11*h - 5*h + k + 5. Let p(l) = -7*l**3 - 13*l - 13. Let v(g) = 13*a(g) + 6*p(g). Factor v(y).
-3*y**3
Let f(l) be the third derivative of l**5/60 + l**4/24 + 6*l**2. Let p(h) = 2*h**2 + 2*h. Let w(o) = -12*f(o) + 5*p(o). Determine c, given that w(c) = 0.
-1, 0
Let r be 18/(-15)*30/(-4). Let s be (-3)/(r/6 - 3). Find l such that 10*l**4 - 2*l**s + 92*l**3 + 10*l**4 - 17 - 64*l + 1 - 28*l**5 - 2*l**2 = 0.
-1, -2/7, 1, 2
Solve -2/5*m**4 + 2/5*m**5 - 2*m**3 + 0 + 0*m - 6/5*m**2 = 0.
-1, 0, 3
Let f(z) be the third derivative of 0 + 0*z + 0*z**3 + 1/30*z**6 - 1/105*z**7 - 1/6*z**4 - 4*z**2 + 1/30*z**5. Let f(p) = 0. Calculate p.
-1, 0, 1, 2
Let k = 949 + -943. Let q(o) be the third derivative of 1/60*o**k + 5/12*o**4 - 2/3*o**3 - 2/15*o**5 + 0 - 9*o**2 + 0*o. Let q(n) = 0. Calculate n.
1, 2
Suppose 20 = 4*q + 4*l, -q + 8 - 3 = -5*l. Let -4*n**2 + n**3 + 114 - 232 + 116 + q*n = 0. Calculate n.
1, 2
Let i(f) = 2*f + 1. Let l(y) = -y**2. Let r(u) = -3*i(u) + 3*l(u). Factor r(w).
-3*(w + 1)**2
Let s(r) = r**3 + 9*r**2 + r + 13. Let p be s(-9). Let 4*n + 9*n**2 + 7*n**2 - 8 - 2*n**5 + 6*n**5 - 9*n**p - 8*n**3 + n**4 = 0. What is n?
-1, 1, 2
Let t(p) be the third derivative of 6*p**2 + 1/78*p**4 - 1/390*p**5 + 0*p + 0*p**3 + 0. Determine n, given that t(n) = 0.
0, 2
Factor 7*c**2 - 143*c**3 - 5*c**2 + 141*c**3.
-2*c**2*(c - 1)
Suppose -l - 4*l - 2 = 3*s, 0 = 2*s - 5*l - 32. Factor -7*m**2 + 9*m - m**2 - 3 + s*m**2 + 8.
-(m - 5)*(2*m + 1)
Solve 3/7 + 12/7*m + 3/7*m**4 + 18/7*m**2 + 12/7*m**3 = 0.
-1
Let n(d) be the second derivative of -d**6/360 + d**5/120 - d**3 - 15*d. Let r(z) be the second derivative of n(z). Let r(f) = 0. Calculate f.
0, 1
Let b(x) be the second derivative of -x**7/735 - x**6/105 - x**5/42 - x**4/42 + 11*x**2/2 + 8*x. Let m(h) be the first derivative of b(h). Factor m(i).
-2*i*(i + 1)**2*(i + 2)/7
Factor 0 + 1/3*p**2 + 41/3*p.
p*(p + 41)/3
Suppose -8 = -5*o + 2*a, 20 - 6 = 5*o + 4*a. Factor o*x**4 + 0*x + 1/2*x**5 + 0*x**2 + 0 + 3/2*x**3.
x**3*(x + 1)*(x + 3)/2
Let a(q) be the second derivative of q**6/10 - 3*q**4/4 + q**3 - 44*q. What is h in a(h) = 0?
-2, 0, 1
Factor -8677*z + 8932*z + 5 + 27*z**2 + 103.
3*(z + 9)*(9*z + 4)
Let z(w) = -2*w**3 + 22*w**2 + 88*w + 98. Let a(l) = -2*l**3 + 25*l**2 + 88*l + 99. Let q(k) = -2*a(k) + 3*z(k). Factor q(u).
-2*(u - 12)*(u + 2)**2
Let y(f) = f**3 - 17*f**2 + f - 13. Let l be y(17). Factor 4*z**2 - 7*z**4 + 0*z**l + 3*z**4.
-4*z**2*(z - 1)*(z + 1)
Let -2/7*v**2 - 36/7 + 18/7*v = 0. What is v?
3, 6
Let z(p) be the third derivative of -p**7/105 + p**6/60 + p**5/5 - p**4/3 - 8*p**3/3 + 67*p**2. Find u such that z(u) = 0.
-2, -1, 2
Let l(z) = -z**3 + 5*z + 2. Let y(n) = -2*n**3 - n**2 + 11*n + 4. Let t(w) = 5*l(w) - 2*y(w). Let u be t(3). Factor -1 - v - 4*v**2 + 3 - v**2 + 4*v**u.
-(v - 1)*(v + 2)
Let j(u) be the third derivative of 1/140*u**5 + 0*u + 1/840*u**6 + 11*u**2 + 0*u**3 + 1/84*u**4 + 0. Factor j(b).
b*(b + 1)*(b + 2)/7
Let a(o) be the first derivative of o**4/28 - 16*o**3/21 + 32*o**2/7 - 61. Factor a(y).
y*(y - 8)**2/7
Let w(s) be the third derivative of s**8/224 - s**7/140 - 11*s**6/80 - 7*s**5/40 + 5*s**4/8 + 2*s**3 + 4*s**2 + 130. Find f such that w(f) = 0.
-2, -1, 1, 4
Let s be 45/(-55) + 1 + (-35)/11. Let b be ((-12)/(-7) + -2)/(s/7). Solve -b*k**2 - 4/3*k - 2/3 = 0.
-1
Solve 96886 + 14*z**2 - 31511*z + 7211*z + 256*z**2 + 54205 + 577909 - z**3 = 0 for z.
90
Let b(x) be the first derivative of 1/18*x**4 - 2/3*x - 2/27*x**3 + 14 - 5/9*x**2. Determine j so that b(j) = 0.
-1, 3
Let s(o) be the first derivative of o**9/1008 - o**8/560 + 2*o**3 + 10. Let i(x) be the third derivative of s(x). Factor i(m).
3*m**4*(m - 1)
Suppose 4*f + 76 + 60 = 0. Let n be 8/(13 + 3)*(-16)/f. Factor 0 + n*y - 2/17*y**2.
-2*y*(y - 2)/17
Let b = 4 - -26. Let t be 18/b*(-4)/(-6). Factor 2/5*q + 0 + 4/5*q**2 + t*q**3.
2*q*(q + 1)**2/5
Determine j, given that -2/13*j**2 + 4/13 - 2/13*j = 0.
-2, 1
Suppose 8 + 10 = 9*r. Let x(u) be the first derivative of 3*u + 43*u**3 - 33/2*u**r + 168/5*u**5 - 219/4*u**4 + 2 - 8*u**6. Find v, given that x(v) = 0.
1/4, 1
Let u(g) be the third derivative of -g**8/3 + 311*g**7/210 - 259*g**6/120 + 31*g**5/60 + 31*g**4/24 - g**3/3 + 219*g**2. Solve u(w) = 0.
-2/7, 1/16, 1
Suppose 55*g - 213 = -16*g. Factor -3/2*c**2 + g*c - 3/2.
-3*(c - 1)**2/2
Let k(l) be the first derivative of 0*l + 7/18*l**2 - 8 + 1/27*l**3. Suppose k(f) = 0. Calculate f.
-7, 0
Let u(v) be the third derivative of 1/84*v**8 + 0*v**3 - 8/105*v**7 + 29*v**2 - 1/5*v**6 + 4/15*v**5 + 0*v + 0 + 5/6*v**4. Solve u(d) = 0 for d.
-1, 0, 1, 5
Let t(m) be the third derivative of m**5/210 + 11*m**4/42 + 121*m**3/21 + 7*m**2 + 5. Factor t(j).
2*(j + 11)**2/7
Let n be (-209)/(-88) + (-6)/16. Solve 0 - 3/4*h**n - 3/2*h = 0.
-2, 0
Let i(z) = -z**2 + z. Let b(l) = -8*l**2 - 22*l + 58. Let n(t) = -4*b(t) + 36*i(t). Factor n(o).
-4*(o - 29)*(o - 2)
Suppose 54*l**2 + 2*l**4 + 21*l + 17*l**2 - 9*l**5 + 91*l**2 + 132*l**3 + 10*l**4 - 30 = 0. What is l?
-2, -1, 1/3, 5
Let w(f) = 2*f**2 - 4. Let i be w(-2). Find z such that 12*z**3 + 4*z**5 + 43 - 4*z**2 - 43 - 12*z**i = 0.
0, 1
Let c = 53 + -51. Let y(u) be the second derivative of 1/7*u**c + 0 - 1/21*u**4 + 0*u**3 + 1/105*u**6 - 3*u + 0*u**5. Determine x so that y(x) = 0.
-1, 1
Let b(p) be the first derivative of -10/3*p**3 + p**5 + 8 + 0*p**2 + 0*p - 5/4*p**4. Factor b(x).
5*x**2*(x - 2)*(x + 1)
Let j(s) be the first derivative of s**6/6 - 9*s**4/4 - 4*s**3/3 + 6*s**2 + 61. Determine t so that j(t) = 0.
-2, 0, 1, 3
Let u(c) be the first derivative of c**5/270 + c**4/36 - 17*c**2/2 - 6. Let h(s) be the second derivative of u(s). Factor h(v).
2*v*(v + 3)/9
Let d(y) = 5*y**2 - 57*y - 6. Let r(o) = -16*o**2 + 172*o + 20. Let s(b) = -20*d(b) - 6*r(b). Factor s(t).
-4*t*(t - 27)
Let g(l) be the first derivative of -4*l**5/5 + 2*l**4 + 20*l**3/3 - 12*l**2 + 98. Factor g(n).
-4*n*(n - 3)*(n - 1)*(n + 2)
Let l be (5/((-900)/1))/((-10)/6). Let r(i) be the third derivative of -6*i**2 + 0*i**4 + 0*i**3 - l*i**6 + 0 + 0*i - 1/300*i**5 - 1/1050*i**7. Factor r(b).
-b**2*(b + 1)**2/5
Let a be 2/(-4)*-34 + 0 + 1. Suppose 5*p + 5*k = p, 2*k = 2*p - a. Factor 0 - 1/6*u**p + 0*u - 1/3*u**4 - 1/6*u**3 + 0*u**2.
-u**3*(u + 1)**2/6
Suppose 0 = -3*q + 9, -4*q = g - 2*g - 16. Let h = g - -19. Factor 2*o**2 - 19*o + 8*o + h*o.
2*o*(o + 2)
Let m(n) be the third derivative of -n**6/40 + n**5/5 + 19*n**4/8 + 7*n**3 + n**2 - 204*n. Factor m(h).
-3*(h - 7)*(h + 1)*(h + 2)
Suppose 5*b = -2*l + 24, -2*l = -0*b - 5*b + 16. Let r be (-2)/(-4) - (-51)/42. Determine d so that -15/7*d**4 + 0 + r*d - 48/7*d**l + 51/7*d**3 = 0.
0, 2/5, 1, 2
Let j(r) = 4*r + 4. Let s(q) = -q**2 - 17*q - 16. Suppose -v = -4*k + 10, -4*k = 8*v - 3*v + 2. Let m be 3/(-2 + 5)*-9. Let d(w) = m*j(w) + v*s(w). Factor d(u).
2*(u - 2)*(u + 1)
Let b(i) be the third derivative of i**8/168 - 6*i**7/35 + 23*i**6/30 - 2*i**5/5 - 47*i**4/12 + 10*i**3 + 296*i**2. Let b(z) = 0. What is z?
-1, 1, 2, 15
Let n(o) be the second derivative of 3*o**2 + 0*o**5 - 5/2*o**4 + 4/5*o**6 + 3/2*o**3 - 3/14*o**7 - 2*o - 20. Find t, given that n(t) = 0.
-1, -1/3, 1, 2
Let o = -17 - -20. Let d = 7 - 5. Factor -i + 2*i**d - i - o*i + i.
2*i*(i - 2)
Let m = -347058/7 + 49580. Find j, given that 0 + m*j**4 + 0*j**2 - 2/7*j**5 + 0*j**3 + 0*j = 0.
0, 1
Let q(a) = a**2 + 12*a + 2. Let p be q(