 30*q**3 + 0 + 85/4*q**4 + 25/4*q**5 - 20*q = 0. What is q?
-4, -1, -2/5, 0, 2
Let k(d) = d**2 + 8*d + 16. Let i be k(-5). Suppose 74*f - 3*f**2 + i - 76*f + 2*f**2 - 2 = 0. What is f?
-1
Let o(t) be the third derivative of 0*t**6 + 1/2*t**3 - 30*t**2 + 0*t**4 + 0*t - 1/10*t**5 + 0 + 1/70*t**7. Let o(f) = 0. What is f?
-1, 1
Let z(o) be the second derivative of 14/45*o**6 + 0 - 28/9*o**4 + 0*o**2 + 2/15*o**5 - 11*o - 16/9*o**3. Suppose z(d) = 0. Calculate d.
-2, -2/7, 0, 2
Let u(g) be the second derivative of g**6/6 - 3*g**5/2 - 25*g**4/4 - 20*g**3/3 + 24*g - 3. Let u(l) = 0. What is l?
-1, 0, 8
Let g be ((-4)/(-14))/(350/98 - 3). Let -1/4*s**2 - g*s - 1/4 = 0. What is s?
-1
Let r(l) = -5*l**4 - 9*l**3 + 7*l**2 + l - 2. Let a(p) = -p**4 - p**3 - p + 1. Let n(g) = 4*a(g) - r(g). Let n(s) = 0. Calculate s.
-6, -1, 1
Let u(g) = -g**4 + g**3 - g**2 + 2. Let p(n) = -n**5 - n**4 + 8*n**3 - 6*n**2 - 8*n + 4. Let i(o) = -5*p(o) + 10*u(o). What is t in i(t) = 0?
-2, -1, 0, 2
Let l(s) be the second derivative of -s**6/30 - 3*s**5/20 + s**4/2 + 14*s**3/3 + 12*s**2 - 3*s - 18. Factor l(h).
-(h - 3)*(h + 2)**3
Let r(i) be the second derivative of 0*i**3 + 1/21*i**7 + 32*i + 0*i**2 + 0*i**6 + 0*i**4 - 1/10*i**5 + 0. Factor r(h).
2*h**3*(h - 1)*(h + 1)
Let t(o) be the second derivative of -o**7/42 + 7*o**6/30 - 3*o**5/10 + 4*o - 12. Determine l, given that t(l) = 0.
0, 1, 6
Let u(p) be the second derivative of -1/80*p**5 + 0*p**3 + 6*p + 1/168*p**7 + 1/120*p**6 + 0*p**2 - 1/48*p**4 + 0. Factor u(c).
c**2*(c - 1)*(c + 1)**2/4
Let d(h) be the third derivative of h**6/24 - 17*h**5/12 + 355*h**4/24 - 275*h**3/6 + 95*h**2 - 1. Factor d(u).
5*(u - 11)*(u - 5)*(u - 1)
Let f(y) = -3*y - 41. Let l be f(-14). Let c be (-2)/3 - (7/(-3) + l). Factor 0 + 1/3*s**4 + 2/3*s**3 - c*s - 1/3*s**2.
s*(s - 1)*(s + 1)*(s + 2)/3
Suppose -45 = -6*f + f. Let 35 + 25*l**2 - 5*l**4 + f*l**4 + 47*l**2 - 3 + 28*l**3 + 80*l = 0. Calculate l.
-2, -1
Let b be (-12)/14 + (-3024)/(-2156). Factor -6/11*h**2 - b*h + 12/11.
-6*(h - 1)*(h + 2)/11
Factor 9*r**3 - 32*r**2 + 42*r**2 + 5*r**4 + 40*r - 34*r**3.
5*r*(r - 4)*(r - 2)*(r + 1)
Let j(s) be the second derivative of 0 - 1/2*s**2 + 2*s - 4/33*s**3 - 1/33*s**4 - 1/330*s**5. Let r(y) be the first derivative of j(y). What is t in r(t) = 0?
-2
Let b(k) be the first derivative of -4*k**3/21 + 6*k**2/7 + 40*k/7 - 12. Determine x so that b(x) = 0.
-2, 5
Determine v so that -108*v**2 + 96 - 7228*v + 6*v**3 + 9*v**4 + 3688*v + 3612*v = 0.
-4, -2/3, 2
Let s(j) = -j**4 + j - 1. Let x(n) = 22 + n**3 - 8*n**4 + 3*n**4 + 2*n - 25 + 2*n**2. Let h(m) = 3*s(m) - x(m). Let h(l) = 0. What is l?
-1, 0, 1/2, 1
Let n(t) be the first derivative of -3/4*t**4 + 0*t**2 - 2/3*t**3 - 2*t - 1. Let p(r) = -10*r**3 - 6*r**2 - 7. Let s(c) = 14*n(c) - 4*p(c). Factor s(b).
-2*b**2*(b + 2)
Let d(l) be the second derivative of -7/50*l**5 + 0*l**2 + 8*l - 1/6*l**4 + 2/15*l**3 + 0. Factor d(n).
-2*n*(n + 1)*(7*n - 2)/5
Let -309/2*w + 0 + 3/2*w**2 = 0. What is w?
0, 103
Suppose 722*t + 72 = 740*t. Factor -1/2*a**t - 1/5*a**5 + 0*a**2 + 0*a + 0 - 1/5*a**3.
-a**3*(a + 2)*(2*a + 1)/10
Let u = 22 - 19. Let n(w) be the third derivative of -1/5*w**5 + 1/40*w**6 + 5/8*w**4 + w**2 + 0*w + 0 - w**u. Factor n(a).
3*(a - 2)*(a - 1)**2
Let k(i) be the third derivative of -1/12*i**4 - 1/6*i**3 + 0 - 1/480*i**6 + 11*i**2 + 0*i - 1/48*i**5. Determine j, given that k(j) = 0.
-2, -1
Let 9/5*l - 3/5*l**2 + 6 = 0. What is l?
-2, 5
Suppose 5*i = q + 1, 2*q = -3*i + 1 - 3. Suppose i*u + 6 = 3*u. What is j in 3*j**4 + 2*j**3 + 4*j**2 + 8*j**2 + 6*j**3 - j**4 + 8*j + u = 0?
-1
Let t be 7*(-8 + (-522)/(-63)). Let s be ((-12)/(-16))/(0 - -1). Factor 0*n - 3/4*n**t + s.
-3*(n - 1)*(n + 1)/4
Let s(p) be the first derivative of 0*p**2 + 1/15*p**6 + 1/10*p**4 + 0*p**3 - 12 - 4/25*p**5 + 0*p. Suppose s(h) = 0. What is h?
0, 1
Let s(m) = 8*m**4 + 3*m**3 + 31*m**2 + 60*m + 19. Let x(u) = -3*u**4 - u**3 - 15*u**2 - 29*u - 10. Let w(c) = -2*s(c) - 5*x(c). Factor w(z).
-(z - 4)*(z + 1)**2*(z + 3)
Suppose 4*u - u + 165 = 0. Let h be u/(-35) + 2 + 33/(-21). Determine z so that -2/3*z**3 - 2/3 - h*z - 2*z**2 = 0.
-1
Let h = 541 + -541. Let z(t) be the second derivative of 7/15*t**6 - 5/3*t**3 + 1/2*t**5 + 4*t - 3/2*t**4 + 2*t**2 + h. Factor z(c).
2*(c - 1)*(c + 1)**2*(7*c - 2)
Let f = 498 + -8963/18. Let l(z) be the second derivative of -1/63*z**7 + 0*z**2 - f*z**4 + 6*z + 0*z**3 + 0 - 1/15*z**6 - 1/10*z**5. Factor l(q).
-2*q**2*(q + 1)**3/3
Factor 2/7*p**3 + 1/7*p**4 + 0*p**2 + 0*p + 0.
p**3*(p + 2)/7
Let c(v) be the first derivative of -3*v**5/5 - 3*v**4/2 + 4*v**3 + 3*v**2 - 9*v - 103. Solve c(m) = 0.
-3, -1, 1
Let j(m) be the first derivative of 2*m**3/39 + 3*m**2/13 - 59. Solve j(f) = 0.
-3, 0
Suppose 0 = 2*o + 3*p - 22, -p - 10 = 2*o - 6*p. Factor o*f**2 - 19*f + 9*f - 35*f + 40.
5*(f - 8)*(f - 1)
Let p(s) be the third derivative of -s**8/504 + s**7/252 + s**6/120 - s**5/45 - s**4/72 + s**3/12 - 314*s**2. Suppose p(y) = 0. What is y?
-1, -3/4, 1
Let z be 9 + (-4 - 2) + 0. Suppose 2*y = -5*r - 3 + 1, 2*r - z = 3*y. Factor 0 - 3/4*q**5 + r*q + 0*q**2 - 3/4*q**3 - 3/2*q**4.
-3*q**3*(q + 1)**2/4
Suppose -8 = 2*w - 4*c, -2*w + 25*c = 20*c + 12. Let p(y) be the second derivative of -8/9*y**3 + 4/9*y**2 - 13/54*y**4 + 0 + w*y. Factor p(l).
-2*(l + 2)*(13*l - 2)/9
Let o(j) = 45*j**3 + 110*j**2 + 115*j - 25. Let x(q) = -11*q**3 - 28*q**2 - 29*q + 6. Let s(z) = -6*o(z) - 25*x(z). Factor s(l).
5*l*(l + 1)*(l + 7)
Let a(k) be the third derivative of k**7/70 + 13*k**6/160 + 3*k**5/16 + 7*k**4/32 + k**3/8 - 138*k**2. Factor a(v).
3*(v + 1)**3*(4*v + 1)/4
Let k = 6675 - 66747/10. Factor -1/10*z - k*z**2 + 0.
-z*(3*z + 1)/10
Let m(v) = -v**2 - 8*v. Let z(u) = 54*u**2 - 94*u + 16. Let g(y) = 4*m(y) - 2*z(y). Find s such that g(s) = 0.
1/4, 8/7
Factor -62/5*a + 4 + 2/5*a**4 - 26/5*a**3 + 66/5*a**2.
2*(a - 10)*(a - 1)**3/5
Let g(f) be the third derivative of 2/15*f**3 + 1/75*f**5 + 1/15*f**4 + 31*f**2 + 0*f + 0. Factor g(p).
4*(p + 1)**2/5
Let a(z) be the second derivative of -3/14*z**3 - 1/28*z**4 + 1/70*z**6 + 13*z + 9/140*z**5 + 0 + 0*z**2. Factor a(n).
3*n*(n - 1)*(n + 1)*(n + 3)/7
Let q(l) be the third derivative of -l**8/28 - 4*l**7/105 + l**6/10 + 2*l**5/15 + l**2 + 117*l. Let q(p) = 0. Calculate p.
-1, -2/3, 0, 1
Solve 91 - 45*z**2 - 3*z**3 + 0*z**3 - 91 = 0 for z.
-15, 0
Let c be ((-7)/(-56)*-3)/(1/(-8)). Solve -4/9*b**2 + 4/9*b**5 + 0*b - 4/3*b**4 + 4/3*b**c + 0 = 0 for b.
0, 1
Let g(q) = q**2 + 16*q + 42. Let y be g(-13). Suppose -y*t - 4*t = 0. Suppose k + t - 11/2*k**2 - 7/2*k**4 + 8*k**3 = 0. Calculate k.
0, 2/7, 1
Let d = 1234 - 1231. Factor 0 + 0*k + 0*k**d + 2/17*k**2 - 2/17*k**4.
-2*k**2*(k - 1)*(k + 1)/17
Determine k so that 24*k**3 + 45/2 - 3/2*k**4 - 24*k - 21*k**2 = 0.
-1, 1, 15
Suppose -18 = 2*r - 22. Let u be (1 - r)/((-3)/12*10). Suppose 18/5*d**2 + 54/5 + u*d**3 + 54/5*d = 0. What is d?
-3
Let z(j) be the second derivative of -4*j**6/45 + 8*j**5/45 + j**4/36 - j**3/9 + 9*j**2/2 + j. Let v(d) be the first derivative of z(d). Solve v(f) = 0 for f.
-1/4, 1/4, 1
Let x = 161821/6 - 27054. Let o = x - -84. Factor 0 + 1/6*c**2 + o*c.
c*(c + 1)/6
Factor -4 - 5 - 8*j**2 + 4*j**2 + 5*j**2.
(j - 3)*(j + 3)
Factor -224*p - 46*p**3 - 202*p**2 - 392/5 + 10*p**4 - 2/5*p**5.
-2*(p - 14)**2*(p + 1)**3/5
Let a(i) be the first derivative of i**5/10 - 5*i**4/8 - 3. Factor a(d).
d**3*(d - 5)/2
Let l(m) be the first derivative of -m**6/36 + m**5/2 - 21*m**4/8 + 49*m**3/18 - 173. Suppose l(j) = 0. What is j?
0, 1, 7
Let m(z) be the first derivative of 4*z**3/3 - 68*z**2 + 1156*z - 23. Factor m(a).
4*(a - 17)**2
Let w be -80*((-135)/12)/9. Let a = w - 100. Determine p so that 2/5*p**3 + 6/5*p**2 + 4/5*p + a = 0.
-2, -1, 0
What is q in 176 + 3*q**3 + 87*q - 134 + 34*q**2 + 14*q**2 = 0?
-14, -1
Let f(p) = -2*p**2 + 17*p - 15. Let n be f(7). Factor 2*b**4 - 4 - 12*b + 5*b - 11*b - 22*b**2 + n*b**4.
2*(b - 2)*(b + 1)*(2*b + 1)**2
Let u = 58441/87657 - 1/29219. Find a such that -10/9*a**2 + 2 + 2/9*a**3 + u*a = 0.
-1, 3
Let y(n) be the third derivative of -n**7/1050 - n**6/600 + 17*n**5/300 - n**4/8 + 129*n**2. Factor y(v).
-v*(v - 3)*(v - 1)*(v + 5)/5
Let f(a) = a**3 - a**2 + 3*a - 1. Let z(h) = 7*h**3 + 8*h**2 - 14*h - 6. Let 