7*n**3 + 585/7*n - 675/7 = 0. What is n?
-15, 1
Let d = -4903 + 4905. Let c = 11 + -7. What is k in -40/13*k - 16/13 + 14/13*k**5 + 2*k**3 - 4*k**c + 68/13*k**d = 0?
-1, -2/7, 1, 2
Let g(r) = -10*r**3 - 411*r**2 + 85*r - 6. Let w(p) = -20*p**3 - 821*p**2 + 169*p - 10. Let h(m) = -5*g(m) + 3*w(m). Solve h(a) = 0.
-41, 0, 1/5
Let m(i) = -5 + 3*i**3 - 2*i**3 - 4*i**2 + 3*i**2 + 4*i + 2*i**2. Let s(f) = -f**3 - 3*f + 6. Let t = 5 + 0. Let w(l) = t*s(l) + 6*m(l). Factor w(v).
v*(v + 3)**2
Suppose -2*q = 194*q. Factor 1/8*y**4 - 1/2*y**3 + q*y**2 + 0*y + 0.
y**3*(y - 4)/8
Let x(f) be the first derivative of -2*f**3/21 - 10*f**2/7 - 50*f/7 - 479. Solve x(a) = 0.
-5
Solve -4/7*w**2 + 116/7 - 16*w = 0.
-29, 1
Let a = 27317/3 - 9087. Find w such that 50/3*w**3 - 16/3*w**4 + a*w - 16/3 + 2/3*w**5 - 76/3*w**2 = 0.
1, 2
Suppose -735*v = -733*v - 8. Suppose -l + 44 = 3*l. Solve 17*t - l*t + 18*t - v*t**2 - 36 + 0*t**2 = 0.
3
Suppose -2*s = 0, 7*s - 2*s + 148 = 4*p. Suppose 5 - p*o + 37*o - 9*o**2 + 5*o**4 - o**2 = 0. Calculate o.
-1, 1
Suppose 2*l + 10*m = 7*m, 2*l = 3*m. Factor -j + l + 1/3*j**2 - 1/3*j**4 + j**3.
-j*(j - 3)*(j - 1)*(j + 1)/3
Let v(y) be the third derivative of y**5/210 - y**3/21 - 7*y**2 - 6*y. Suppose v(i) = 0. What is i?
-1, 1
Let s = 2993 + -2989. Determine o, given that 8*o**2 + 16/3*o**3 + 4/3 + 4/3*o**s + 16/3*o = 0.
-1
Let g(d) be the first derivative of -5*d**4/4 + 20*d**3/3 + 125*d**2/2 - 140*d - 188. Factor g(k).
-5*(k - 7)*(k - 1)*(k + 4)
Let f = 823/3 - 273. Let c(p) be the second derivative of 52/9*p**3 + f*p**2 + 217/18*p**4 + 49/5*p**5 + p + 0. What is q in c(q) = 0?
-2/7, -1/6
Let o(q) be the second derivative of -q**6/165 - 3*q**5/110 - q**4/22 - q**3/33 + 14*q - 4. Factor o(w).
-2*w*(w + 1)**3/11
Let k(z) = 2*z**3 + 12*z**2 - 20*z + 16. Let b(o) = 3*o**3 + 24*o**2 - 41*o + 32. Let x(m) = 4*b(m) - 7*k(m). Factor x(i).
-2*(i - 2)**3
Let h(k) be the third derivative of k**6/1260 - k**5/210 - 19*k**3/6 - 22*k**2. Let q(o) be the first derivative of h(o). Determine v so that q(v) = 0.
0, 2
Suppose 2*n - 9*n = -14. Factor 12*d - 2*d + 4*d**n + 2*d.
4*d*(d + 3)
Solve 122*b**5 + 95*b**3 - 49*b**4 - 15*b**2 - 100*b - 117*b**5 + 60 + 4*b**4 = 0.
-1, 1, 2, 6
Let k(n) = 10 + 13*n**3 - 66*n**2 + 4 + 23 + 128*n - 9. Let h(w) = -14*w**3 + 65*w**2 - 128*w - 27. Let y(t) = -4*h(t) - 5*k(t). Find j such that y(j) = 0.
-2/9, 4
Let r be (154/(-21) + 8 - -3) + -3. Find x, given that 2/3*x - 1/3*x**4 + 0*x**2 + 1/3 - r*x**3 = 0.
-1, 1
Let a(l) = l**2 + l + 4. Suppose 2 = 4*t + 10. Let r be (4 - 3 - t) + 2. Let n(g) = 2*g**2 + 2*g + 5. Let s(b) = r*a(b) - 4*n(b). Let s(h) = 0. Calculate h.
-1, 0
Let h(l) = -l**4 + l**3 + l**2 - l + 1. Let a = 15 - 16. Let n(p) = 10*p**4 - 10*p**3 - 10*p**2 + 10*p - 12. Let q(x) = a*n(x) - 12*h(x). Solve q(i) = 0 for i.
-1, 0, 1
Let c = 219 - 268. Let z = 148/3 + c. Factor -1/2*l - 1/6*l**2 - z.
-(l + 1)*(l + 2)/6
Let m be ((-1)/3)/((-53)/159). Factor -5/2*q**2 - m - 7/2*q.
-(q + 1)*(5*q + 2)/2
Suppose -2*l = l - 15. Suppose l*h - 2 = 13. Let 2*z**2 + z**4 + 3*z**3 + 5*z**h - 5*z**3 = 0. Calculate z.
-2, -1, 0
Suppose 0 = -r + 2. Suppose 4*y**3 - 3 - r*y**4 - 4*y + 10*y**2 - 2 - 2*y**2 - 1 = 0. Calculate y.
-1, 1, 3
Solve -138*h**2 + 32*h**2 + 37*h**2 - 3*h**3 - 66*h + 1 - 1 = 0 for h.
-22, -1, 0
Let v(p) be the first derivative of 0*p**3 + 1/60*p**5 + 6 + 1/12*p**4 + 0*p + 3*p**2. Let b(u) be the second derivative of v(u). Factor b(l).
l*(l + 2)
Let k be (-2 + -2)/(-2 - (2 - 3)). Find h, given that -1 + 3/2*h**2 + 1/2*h - 1/2*h**k - 1/2*h**3 = 0.
-2, -1, 1
Let x = 4943 - 9885/2. Determine r so that 50 - 10*r + x*r**2 = 0.
10
Suppose 6*d - 4*d - 5*x - 18 = 0, -2*d = 5*x + 2. Let b be -3*(-1)/6*d/1. Factor 8/7 - 18/7*u**b - 24/7*u + 2*u**3.
2*(u - 2)*(u + 1)*(7*u - 2)/7
Let b(j) be the first derivative of 9/2*j**2 + 3*j - 5*j**3 - 10 - 9/4*j**4 + 12/5*j**5. Solve b(o) = 0 for o.
-1, -1/4, 1
Factor -73*m**2 + 5*m**3 + 101*m**2 + 332*m**2 + 6480*m.
5*m*(m + 36)**2
Suppose -63*c + 80 + 298 = 0. Let r(g) be the first derivative of 1/4*g**4 + 1/30*g**c + 0*g**2 - 4/25*g**5 + 0*g - 2/15*g**3 + 2. Factor r(p).
p**2*(p - 2)*(p - 1)**2/5
Factor -8/7 - 6/7*x + 5/7*x**2.
(x - 2)*(5*x + 4)/7
Let a(c) be the second derivative of 49*c**6/120 + 133*c**5/40 - 41*c**4/12 + c**3 - 167*c. Factor a(p).
p*(p + 6)*(7*p - 2)**2/4
Factor -2/7*x**3 + 2/7*x**2 + 48/7*x + 72/7.
-2*(x - 6)*(x + 2)*(x + 3)/7
Suppose 11*b**2 - b**3 + 23*b - b**2 - 5*b**2 - 9*b = 0. Calculate b.
-2, 0, 7
Solve 143*i**2 + 8*i**4 + 21*i**3 - 11*i**4 + 55*i**2 + 444*i + 312 = 0 for i.
-2, 13
Let d(c) = -14*c + 10. Let a(l) be the second derivative of -l**4/12 - 43*l**3/6 + 15*l**2 + 25*l. Let o(f) = -4*a(f) + 14*d(f). Let o(r) = 0. Calculate r.
1, 5
Factor 7/6*z**2 - 229/6*z - 11.
(z - 33)*(7*z + 2)/6
Let k(l) be the third derivative of -l**7/2 + 11*l**6/6 - 25*l**5/12 + 5*l**4/12 - 23*l**2. Factor k(w).
-5*w*(w - 1)**2*(21*w - 2)
Solve -12/13*t**2 - 12/13*t**4 + 0*t + 22/13*t**3 + 2/13*t**5 + 0 = 0 for t.
0, 1, 2, 3
Suppose 2*v - 433 = 3*l, -v + 337 - 138 = 2*l. Solve 4*o**2 + v - 480*o + 528*o - 65 = 0 for o.
-6
Let k be ((8 - 36) + 2*-2)*-1. What is p in -p**3 - 60*p + 0*p**3 - 24*p**2 - k + 5*p**3 + 0*p**3 = 0?
-1, 8
Let w be (-6)/(-4)*(-1)/(18/(-60)). Solve -4*p**2 - w*p**2 - 2*p + 17*p + 4*p**2 = 0.
0, 3
Let w(i) be the first derivative of 0*i**2 + 0*i + 3 - 1/3*i**4 - 2/15*i**5 - 2/9*i**3. Suppose w(h) = 0. What is h?
-1, 0
Let i = -203 - -203. Let o(a) be the second derivative of -1/24*a**4 + i - 1/2*a**2 + 10*a + 1/4*a**3. Factor o(y).
-(y - 2)*(y - 1)/2
Let a(i) = 2*i**2 - 2*i - 1. Let l be a(2). Let u be ((-2)/1)/(4/(-6)). Factor y**u + 7*y**l - 4*y**3 - 2 + 2*y**4 - 4*y.
2*(y - 1)*(y + 1)**3
Factor -31*o**3 + 4 + 84*o**3 - 33*o**3 + 146 - 204*o**2 - 41*o**3 - 465*o.
-3*(o + 5)**2*(7*o - 2)
Let r be 36/(-8)*(-3 + (-21)/(-9)). Let g be r - ((-21)/35)/(4/(-10)). Determine q, given that 1 + 5/2*q + g*q**2 = 0.
-1, -2/3
Let c(z) = -3*z**4 - 60*z**3 + 30*z**2 + 207*z + 120. Let k(f) = f**4 + 30*f**3 - 15*f**2 - 104*f - 60. Let a(s) = 4*c(s) + 7*k(s). Factor a(n).
-5*(n - 2)*(n + 1)**2*(n + 6)
Solve -16*g - 384 + 35*g - g**2 + 31*g - 241 = 0 for g.
25
Suppose -7534 + 7534 - 224*j**3 + 3136*j**2 + 4*j**4 = 0. Calculate j.
0, 28
Let l(s) be the second derivative of 5*s**4/108 - 11*s**3/18 - 7*s**2/9 + 92*s + 1. Factor l(h).
(h - 7)*(5*h + 2)/9
Let b = -4195 + 8401/2. Factor -5/3 + 7/6*u**2 + b*u.
(u + 5)*(7*u - 2)/6
Let p be (-7)/(-3) - (-1)/(-9)*3. Factor i**p - 3 + 3 - 166*i + 163*i.
i*(i - 3)
Solve -2*p - 1/2*p**3 + 4*p**2 - 24 = 0 for p.
-2, 4, 6
Let b(f) = -43*f + 3. Let r be b(0). Let y(t) be the first derivative of -1/6*t**r + 0*t + 1/10*t**5 + 12 + 0*t**4 + 0*t**2. Determine l so that y(l) = 0.
-1, 0, 1
Let o(g) = 4*g**2 + 2*g - 1. Let c(h) = 3*h**2 - h - 1. Let x(v) = 5*c(v) - 5*o(v). Factor x(y).
-5*y*(y + 3)
Let f be (485/30)/(-1*(3 + -1)). Let s = f + 35/4. Suppose 1/3*j**2 + s - j = 0. Calculate j.
1, 2
Let l be 20/15 + (6 + -6)/(-1). Factor 4/3*g**2 + 0 - l*g.
4*g*(g - 1)/3
Solve -329*u**4 - 3*u**5 + u**5 - 5532*u**2 + 6160*u + 581*u**4 - 1200 + 304*u**3 + 18*u**5 = 0.
-10, 1/4, 1, 3
Suppose 4*j = 220 - 208. Let x(v) be the second derivative of -1/10*v**5 + 1/2*v**2 + 0 - 7*v + 1/8*v**4 + 3/4*v**j. Factor x(c).
-(c - 2)*(c + 1)*(4*c + 1)/2
Let d(z) be the second derivative of -z**4/42 + 88*z**3/21 - 1936*z**2/7 + 212*z. What is i in d(i) = 0?
44
Suppose 2*y - 64 = 4*s, -4*s = s - y + 80. Let q = -14 - s. Factor 0*o**2 + 0*o**5 - 3*o**q + 3*o**5 - 9*o**4 + 14*o**3 - 5*o**3.
3*o**2*(o - 1)**3
Let p(x) be the third derivative of -9*x**8/784 - 51*x**7/245 - 331*x**6/280 - 221*x**5/70 - 65*x**4/14 - 4*x**3 - 238*x**2. Determine k, given that p(k) = 0.
-7, -2, -1, -2/3
Let u(i) be the third derivative of 0*i - 16/3*i**3 - 1/30*i**6 - 7/3*i**4 - 2*i**2 - 7/15*i**5 + 0. Factor u(y).
-4*(y + 1)*(y + 2)*(y + 4)
Let n(r) be the second derivative of -3*r**5/40 - 9*r**4/4 - 17*r**3/4 + 2*r - 4. Factor n(s).
-3*s*(s + 1)*(s + 17)/2
Let o(q) be the first derivative of -5*q**3/3 - 105*q**2 - 205*q + 593. Suppose o(c) = 0. Calculate c.
-41, -1
Factor -32/5*k + 1/5*k**2 + 256/5.
(k - 16)**2/5
Let w(k) = -k**2 + k. Let f = -7 - -8. Let b(h) = -2*h**2 + 1. Let