Let v = 210436 + -420817/2. Let -115/4*h - 5/4*h**2 - v = 0. What is h?
-22, -1
Let j = -132041 - -132049. Factor 0 - 26/5*g**2 - j*g**3 - 4/5*g.
-2*g*(4*g + 1)*(5*g + 2)/5
Suppose 0 = 4*v - 2*i - 102, 9*v - 2*i = 4*v + 127. What is m in 156*m**2 - 60*m**3 - 15*m**4 + v*m**5 - 176*m**2 + 1 - 1 = 0?
-1, -2/5, 0, 2
Solve -34*j**2 - 32*j**4 - 61*j**3 - 22*j**2 + 13*j**5 + 118*j - 55*j**3 + 88 - 14*j**5 - j**5 = 0 for j.
-11, -4, -1, 1
Let b be (4/5 + -2)/(68/(-102)). Let v(m) be the first derivative of -3/25*m**5 - b*m**3 - 3/4*m**4 - 21/10*m**2 + 15 - 6/5*m. Factor v(p).
-3*(p + 1)**3*(p + 2)/5
Let 542*n**3 + 65340*n + 550*n**3 - 1087*n**3 - 1437480 - 990*n**2 = 0. Calculate n.
66
Let r be 3/4 - 199850/(-200). Solve r*h**3 + 1632*h - 5000*h**2 + 4*h**5 + 22*h**4 - 12500 + 10868*h - 122*h**4 = 0 for h.
5
Let y be ((-16)/20*-113)/((-2)/15). Let z = 4754/7 + y. Determine p, given that 0 + z*p - 2*p**2 + p**3 - 1/7*p**4 = 0.
0, 1, 2, 4
Let l = 7177/30 - 3521/15. Suppose -l*c**2 - 15/8 + 3/8*c**4 - 21/4*c - 3/4*c**3 = 0. What is c?
-1, 5
Suppose 0 = -5*z - 40, -14*z = v - 19*z - 42. Let o(m) be the first derivative of m - 9 + 3/4*m**v + 1/6*m**3. Let o(j) = 0. What is j?
-2, -1
Let u(q) = -3*q**4 + 9*q**3 + 7*q**2 - 5*q - 5. Let v(y) = -4*y**4 + 10*y**3 + 8*y**2 - 6*y - 6. Let h = -346 + 352. Let i(w) = h*u(w) - 5*v(w). Factor i(x).
2*x**2*(x + 1)**2
Let c(o) be the third derivative of 1/105*o**7 + 1/10*o**6 + 0*o + 16*o**2 + 2/5*o**5 + 0 + o**3 + 5/6*o**4. Find g such that c(g) = 0.
-3, -1
Let h(y) be the second derivative of 40*y - 29/4*y**3 + 1/16*y**4 + 0 + 2523/8*y**2. Suppose h(w) = 0. What is w?
29
Suppose -3*n + 15 = -4*k, -6 = k + k. Suppose -2*l + n + 5 = 0. Factor l*h**3 + 8*h + 3*h**4 - 5*h - 3*h**2 - 6*h.
3*h*(h - 1)*(h + 1)**2
Let u(t) be the first derivative of 0*t**2 - 5/8*t**4 + 3/4*t**3 + 41 - 26*t. Let v(p) be the first derivative of u(p). Factor v(f).
-3*f*(5*f - 3)/2
Suppose 0 = -3*x + 4*s - 2, 2*x + s - 2 = 4. Factor -3*r + 7 - 4*r - 3*r**2 + x*r**2 + r.
-(r - 1)*(r + 7)
Let v(z) be the second derivative of -z**5/20 + 4*z**4/3 + 35*z**3/2 - z + 12. Factor v(d).
-d*(d - 21)*(d + 5)
Suppose 4*z + 0*z - 244 = 0. Let q = 102 - z. Factor h - 20 + 2*h**2 - 17 + q + 5*h.
2*(h + 1)*(h + 2)
Let u(h) be the first derivative of h**3/9 + 132*h**2 + 52272*h - 5245. Factor u(c).
(c + 396)**2/3
Solve -9/5*o + 1/5*o**2 + 14/5 = 0.
2, 7
Let p be 19/76 + (15/4 - 2). Let z be p/(-40)*(-765)/102. Factor -3/8*s**2 - z + 3/4*s.
-3*(s - 1)**2/8
Suppose -267*h + 124 + 49 = -361. Let w(d) be the first derivative of -36 + 1/6*d**4 + 0*d**3 + 0*d + 0*d**h. Factor w(p).
2*p**3/3
Factor -2/11*l**5 - 48/11*l**3 + 0 - 32/11*l + 64/11*l**2 + 16/11*l**4.
-2*l*(l - 2)**4/11
Let t = -93 + 99. Suppose 5*y - t*y - 2*p + 8 = 0, y - p = 2. Suppose 0 + 0*q**y + 4/3*q**3 - 2/3*q + 0*q**2 - 2/3*q**5 = 0. Calculate q.
-1, 0, 1
Let d(c) be the first derivative of -c**3/3 + 2*c - 106. Let b be d(0). Factor 2/5*k**b + 4/5*k - 6/5.
2*(k - 1)*(k + 3)/5
Suppose -2 = -o - 5, 2*i + 5*o = 19. Suppose -16 = -f + i. Find u such that 24*u**2 + 36 - f*u**2 + 13*u**2 + 24*u = 0.
-3
Factor 24/5 + 100*d + 164/5*d**2.
4*(d + 3)*(41*d + 2)/5
Let a(i) = -14*i**2 - i. Let k(n) = 3*n**3 - 556*n**2 - 17*n + 1944. Let r(j) = 5*a(j) - k(j). Let r(l) = 0. Calculate l.
-2, 2, 162
Suppose -16*y - 28 = -44*y. Suppose -2*w + 1 + 5 = 0. Find x such that 10*x - 1 - 61*x**3 - y + 6 + 8*x**2 + 63*x**w = 0.
-2, -1
Let n(q) be the third derivative of q**6/960 - 39*q**5/80 + 1121*q**4/16 + 3481*q**3/6 - q**2 - 371*q. Factor n(m).
(m - 118)**2*(m + 2)/8
Let c(g) = g**3 + 110*g**2 + 1634*g - 394. Let x be c(-18). Factor -3/8*z**3 + 51/4*z + 27/8*z**x + 9.
-3*(z - 12)*(z + 1)*(z + 2)/8
Let r(s) be the second derivative of -s**7/189 + s**6/3 - 67*s**5/10 + 2255*s**4/54 + 968*s**3/9 + 1133*s - 2. Find c, given that r(c) = 0.
-1, 0, 11, 24
Determine k so that -11*k**3 - 186*k + 17*k**3 + 4*k**2 + 2*k**3 + 20 + 154*k = 0.
-5/2, 1
Let p(n) be the second derivative of 1/2*n**5 - 81*n - 2 + 1/42*n**7 + 5/2*n**2 - 7/30*n**6 - 11/6*n**3 + 1/6*n**4. Solve p(t) = 0 for t.
-1, 1, 5
Let s(v) be the second derivative of -v**7/14 - 24*v**6/5 - 432*v**5/5 - 2*v + 531. Factor s(j).
-3*j**3*(j + 24)**2
Let v = 0 - -1/5. Let l = 35677/89205 + 1/17841. Solve -2/5*c + 0 - 1/5*c**2 + l*c**3 + v*c**4 = 0.
-2, -1, 0, 1
Let f be (2 + -1)/(1/2). Let g = -9/1100 + 409/1100. Find v, given that 0 + 4/11*v + g*v**f - 3/11*v**3 = 0.
-2/3, 0, 2
Let u be (2*-2)/8*(15 - 19). Let -3*k**2 - 205*k + 5*k**u - 2*k**2 + 2*k**2 + 265*k + 58 = 0. What is k?
-29, -1
Let w = 18 - 35. Let u be 2 + (0 - 2) - w. Factor -5*r**2 + 9*r**3 - 36*r**3 + 5*r**4 + u*r**3 + 10*r.
5*r*(r - 2)*(r - 1)*(r + 1)
Let f(r) be the second derivative of -32*r - 6 + 43*r**2 + 1/6*r**4 - 44/3*r**3. Factor f(g).
2*(g - 43)*(g - 1)
Let r(m) be the third derivative of 1/112*m**8 - 2/35*m**7 + 0 - 70*m**2 + 1/5*m**5 + 0*m**4 + 0*m + 0*m**3 - 1/40*m**6. Factor r(d).
3*d**2*(d - 4)*(d - 1)*(d + 1)
Suppose 7*g - 16*g = -126. Let h be (-6)/g + 471/21. Factor -2*r**4 + r**4 + 0*r**4 + 23*r**2 - h*r**2.
-r**2*(r - 1)*(r + 1)
Suppose 3/2*y**2 + 32 + 193/2*y = 0. Calculate y.
-64, -1/3
Let g(t) = t + 4. Let l be g(-4). Suppose c - a + 2*a = l, 27 = 5*c - 4*a. Factor -c*s**2 + 11*s**2 + 1 - 4*s**4 - 5.
-4*(s - 1)**2*(s + 1)**2
Let d(u) be the third derivative of -u**8/84 + u**7/30 + 29*u**6/20 + 203*u**5/60 + 5*u**4/3 - 50*u**2 - 27. Determine a, given that d(a) = 0.
-5, -1, -1/4, 0, 8
Let r = 3 + 0. Suppose -4*w + 2*b = 6 - 16, -5*w + 29 = 3*b. Suppose -192*v**2 - 126*v**3 + 0*v**r - 88*v - 8*v - 33*v**w + v**5 - 4*v**5 = 0. Calculate v.
-4, -2, -1, 0
Let f(n) = -3*n**4 - 18*n**3 + 1176*n**2 - 8484*n + 18168. Let m(o) = -o**3 + o**2 + 5*o - 2. Let q(v) = f(v) + 12*m(v). Suppose q(p) = 0. What is p?
-28, 6
Let k be (1 - 0)/(336 + -331). Factor -k*w**4 + 2/5*w**2 + 0*w**3 + 0*w - 1/5.
-(w - 1)**2*(w + 1)**2/5
Let q(p) be the first derivative of 2*p**5/25 - 11*p**4/10 - 262*p**3/15 - 381*p**2/5 - 684*p/5 - 1212. Solve q(f) = 0.
-3, -2, 19
Let u = 13/217 - -6905/651. Let w(f) be the first derivative of 22 - 5/6*f**6 - 13/2*f**2 - 19/2*f**4 - 2*f - u*f**3 - 22/5*f**5. What is c in w(c) = 0?
-1, -2/5
Factor -1/7*t**3 - 48/7 - 97/7*t - 50/7*t**2.
-(t + 1)**2*(t + 48)/7
Let p = -1 + 4. Suppose z - p = 6. Factor 24*j**5 - 2*j**3 - 2*j**5 - z*j**5 + j - 12*j**5.
j*(j - 1)**2*(j + 1)**2
Suppose -163*m + 175 = -128*m. Let p(o) be the third derivative of 0*o + 0 - 7/36*o**4 - 1/36*o**6 + 1/315*o**7 - 17*o**2 + 1/10*o**m + 2/9*o**3. Factor p(c).
2*(c - 2)*(c - 1)**3/3
Let q(y) be the third derivative of -2*y**2 + 0*y + 1/240*y**5 - 1/16*y**4 - 3 + 1/840*y**7 + 0*y**3 + 1/120*y**6. Factor q(h).
h*(h - 1)*(h + 2)*(h + 3)/4
Let d(v) be the first derivative of 34225*v**4/7 + 320420*v**3/7 + 10368*v**2/7 + 16*v - 620. Let d(j) = 0. What is j?
-7, -2/185
Factor -109561/4 - 1/4*d**2 - 331/2*d.
-(d + 331)**2/4
Let q(z) = -z**4 - z**3 + 2*z**2 - z. Let y(t) = 2*t**4 - 51*t**3 - 164*t**2 - 163*t - 55. Let w(r) = -4*q(r) - 4*y(r). Factor w(s).
-4*(s - 55)*(s + 1)**3
Let i = 196/31 - 19/3. Let y = i - -21/31. Let 0 + y*p - 2/3*p**2 = 0. What is p?
0, 1
Suppose 5*n = -25, -5*z - 5*n = -1 + 26. Suppose -4*c = -z*c + 5*k - 71, -4*k + 12 = 0. Find p such that 6*p**2 + c*p**3 - 361*p**5 + 6*p**2 + 359*p**5 = 0.
-2, -1, 0, 3
Factor 439*t**2 - 15276*t - 38541 - 35024*t**3 + 37*t**2 + 57570 + 45951 + 35020*t**3.
-4*(t - 57)**2*(t - 5)
Suppose 88*a - 40*a + 32*a = 160. Find k, given that -4/3*k**3 - 8/3*k - 32/3 + 20/3*k**a = 0.
-1, 2, 4
Let y(g) = -32*g**3 + 132*g**2 - 628. Let x(z) = 13*z**3 - 53*z**2 + 251. Let a(o) = 12*x(o) + 5*y(o). Determine h, given that a(h) = 0.
-2, 4
Let k(i) be the third derivative of -i**5/20 + 15*i**4 + 121*i**3/2 - 523*i**2. Factor k(b).
-3*(b - 121)*(b + 1)
Let m(d) be the third derivative of -d**5/390 + 21*d**4/52 - 62*d**3/39 - 510*d**2 + d - 1. Suppose m(q) = 0. Calculate q.
1, 62
Let u(c) be the first derivative of -2*c**3/3 + 26*c**2 - 96*c + 960. Factor u(j).
-2*(j - 24)*(j - 2)
Let o(l) be the first derivative of 3125*l + 7 - l**5 + 625*l**2 - 25/2*l**4 + 0*l**3. Suppose o(h) = 0. Calculate h.
-5, 5
Let l(b) = b**2 - 7*b - 38. Let h be l(-4). Let t be (-3)/84 - h/(-21). Factor 