*3 + 4/3*a - 8/3*a**2 = 0.
-1, 0, 1
Let w(u) be the second derivative of -u**7/126 - 2*u**6/45 + 11*u**5/30 + 16*u**4/9 - 47*u**3/6 - 30*u**2 - 8*u - 55. Suppose w(i) = 0. What is i?
-5, -4, -1, 3
Suppose -413*b + 1023 + 1405 = -50. Let c(j) be the second derivative of -11*j + 1/10*j**b + 0*j**5 + 0*j**3 + 0 + 0*j**2 - 1/4*j**4. Factor c(n).
3*n**2*(n - 1)*(n + 1)
Suppose -6 = 25*w - 6. Let q be (8 + w - 9)*-3. Let 3/4*b**5 - 2*b**q - 1/4*b**4 - b**2 + 0*b + 0 = 0. Calculate b.
-1, -2/3, 0, 2
Factor -9*i**4 + 9*i**4 + 9*i**3 - 23*i**2 - 4*i - 4*i + 23*i - i**4.
-i*(i - 5)*(i - 3)*(i - 1)
Let m(g) = 3*g**2 - 103*g + 632. Let n(s) = 3*s**2 - 107*s + 634. Let p(h) = -5*m(h) + 4*n(h). Find l such that p(l) = 0.
13, 16
Suppose -z + 2*q = -14 + 15, 3*z - 2*q - 5 = 0. Determine p, given that 30*p**2 + 1600*p - 7*p**z + 6 - 814*p - 815*p = 0.
2/7, 1, 3
Factor -3/2*z**3 - 219/2*z + 135 + 24*z**2.
-3*(z - 9)*(z - 5)*(z - 2)/2
Let a(y) = -153*y - 1067. Let s(t) = t**2 - 15*t + 43. Let h be s(5). Let f be a(h). Factor 0 + 2/3*q + 2/3*q**f + 2*q**3 + 2*q**2.
2*q*(q + 1)**3/3
Let c = -208/137 + 1801/1096. Let j(f) be the first derivative of -1/6*f**3 + 1/2*f - 1/4*f**2 + c*f**4 - 28. What is g in j(g) = 0?
-1, 1
Let u be (-2)/12*(160 - 159)*0. Determine i so that u*i - 2/5*i**4 - 1/5*i**5 + 0*i**2 + 0 - 1/5*i**3 = 0.
-1, 0
Let z(g) = g**2 - g + 8. Let v be z(0). Let m be (-2)/v - 52/(-16). Factor m*h - 4*h + 39*h**2 - 37*h**2 - h.
2*h*(h - 1)
Let k(l) = 13*l**4 + 8*l**3 + 7*l**2 + 4*l. Let y(o) = 27*o**4 + 15*o**3 + 15*o**2 + 9*o. Let w = -3 - 6. Let p(f) = w*k(f) + 4*y(f). What is i in p(i) = 0?
-1, -1/3, 0
Let k(g) be the first derivative of -60 - 14*g**3 + 42*g - 3/2*g**2 + 3/4*g**4. Factor k(i).
3*(i - 14)*(i - 1)*(i + 1)
Let f be 8 + 2911/(-369) + (-1531)/(-45). Let f + 64/15*c + 2/15*c**2 = 0. What is c?
-16
Let t(y) be the third derivative of y**6/40 - y**4/2 - 24*y**2 + 2*y. Suppose t(j) = 0. Calculate j.
-2, 0, 2
Solve -48*o + 78/5*o**2 - 2016/5 + 3/5*o**3 = 0.
-28, -4, 6
Suppose -h - 24 = -x - 3*x, -5*x - 2*h + 17 = 0. Let n be -1 + ((-45)/20)/((-18)/48). Solve -5*v**5 + 5*v**3 + x*v**4 + 0*v**n - 73*v**2 + 68*v**2 = 0.
-1, 0, 1
Solve 48439*u + 5*u**3 + 19965*u - 46561 + 4781*u - 95049 - 1200*u**2 = 0 for u.
2, 119
Suppose -20040/7*c + 100/7*c**2 + 1004004/7 = 0. Calculate c.
501/5
Suppose 0 = -59*q - 11724 + 34675. Let p = q + -2675/7. What is s in -64/7*s + p*s**2 + 2/7*s**4 - 16/7*s**3 + 32/7 = 0?
2
Suppose 140*p - 952 = -98*p. Let b(g) be the second derivative of 0 + 1/25*g**5 + 0*g**2 + 1/15*g**p - 4/15*g**3 - 9*g. Solve b(y) = 0 for y.
-2, 0, 1
Let d(p) be the first derivative of -p**9/1008 - p**8/560 + p**7/140 + 46*p**3/3 + 27. Let m(k) be the third derivative of d(k). Factor m(c).
-3*c**3*(c - 1)*(c + 2)
Let q(c) be the second derivative of -c**4/6 + 4268*c**3/3 - 4553956*c**2 - 341*c - 8. Factor q(t).
-2*(t - 2134)**2
Let s(v) be the second derivative of v**7/504 - 5*v**6/72 - 11*v**5/24 + 9*v**4/2 + 3*v - 5. Let p(z) be the third derivative of s(z). Solve p(c) = 0 for c.
-1, 11
Let h(o) be the first derivative of 1296*o + 4/3*o**3 - 28 + 72*o**2. Determine q, given that h(q) = 0.
-18
Factor 3/2*p**2 + 45*p + 156.
3*(p + 4)*(p + 26)/2
Let p(n) be the second derivative of 16/21*n**3 - 1/42*n**4 - 64/7*n**2 - 6*n - 2. Determine v, given that p(v) = 0.
8
Let z(u) be the first derivative of -3*u**5/5 - 28827*u**4/28 - 3291419*u**3/7 + 12734919*u**2/14 - 2831814*u/7 - 4775. Suppose z(r) = 0. Calculate r.
-687, 2/7, 1
Let t(b) be the third derivative of -b**6/180 - 8*b**5/15 - 64*b**4/3 - 13*b**3/3 + 66*b**2 + 1. Let m(l) be the first derivative of t(l). Factor m(r).
-2*(r + 16)**2
Let b = 228784 + -228782. Factor 1587/2 + 69*s + 3/2*s**b.
3*(s + 23)**2/2
Let n(k) = -3*k - 27. Let a be n(-10). Let j be -3 + (a - (-2 - -5)) - -16. Factor 95*m + j*m**2 + 42*m**2 + 45 - 5*m**3 + 10*m**3.
5*(m + 1)**2*(m + 9)
Let c(y) be the second derivative of y**6/60 + y**5/40 - 9*y**4/8 - 27*y**3/4 - 27*y**2/2 + 100*y. Factor c(n).
(n - 6)*(n + 1)*(n + 3)**2/2
Let k(j) be the third derivative of -3/32*j**4 + 4*j**2 + 0*j + 3 + 1/240*j**5 + 0*j**3. Factor k(h).
h*(h - 9)/4
Let y(x) be the second derivative of -x**6/200 - 3*x**5/50 + 16*x**3/5 + 62*x**2 + 78*x. Let o(f) be the first derivative of y(f). Factor o(m).
-3*(m - 2)*(m + 4)**2/5
Let i(d) be the third derivative of 0*d**4 + 1/160*d**6 + 3/560*d**7 + 0*d**3 + 0 + 27*d**2 + 0*d**5 + 1/896*d**8 + 0*d. Let i(c) = 0. Calculate c.
-2, -1, 0
Let i(w) = -w**2 - 41*w + 89. Let s be i(-43). Suppose 299 + 296 - 5*k**s - 595 - 10*k**2 + 6*k**4 - k**4 = 0. What is k?
-1, 0, 2
Let x be 610/(-549) - 506/(-99). Determine k so that 25/3*k**3 - 2/3*k**x - 49/3 - 133/3*k - 19*k**2 = 0.
-1, -1/2, 7
Find m such that -22/13*m**4 + 0*m + 38/13*m**3 - 6/13*m**5 + 0 - 10/13*m**2 = 0.
-5, 0, 1/3, 1
Suppose -4*t - 9 + 17 = -l, -l = -3*t + 5. Let u(m) be the first derivative of 2/17*m**2 - 2/17*m - 2/51*m**t + 6. Factor u(d).
-2*(d - 1)**2/17
Factor 58 - 52*z - 3263*z**2 + 4*z**3 + 110 + 3239*z**2.
4*(z - 7)*(z - 2)*(z + 3)
Let u(p) be the second derivative of p**6/80 - p**5/40 - p**4/8 - 37*p**2/2 + 28*p - 1. Let w(t) be the first derivative of u(t). Solve w(f) = 0 for f.
-1, 0, 2
Let p(f) be the third derivative of -f**8/84 - 2*f**7/5 - 19*f**6/15 + 2*f**5/15 + 13*f**4/2 + 38*f**3/3 - 4*f**2 + 106*f. What is k in p(k) = 0?
-19, -1, 1
Let n(q) be the third derivative of -q**6/1080 + 7*q**5/90 - 49*q**4/18 - 47*q**3/6 + 3*q**2 + 8. Let u(v) be the first derivative of n(v). Factor u(w).
-(w - 14)**2/3
Suppose -384*t - 63 = -387*t. Factor -7*y**2 + 5*y**2 + 44*y + 17 + 8 + t.
-2*(y - 23)*(y + 1)
Let o = 1080 - 16199/15. Let w(u) be the second derivative of o*u**4 - 16*u - 2/5*u**2 + 3/50*u**5 - 1/5*u**3 + 0. Solve w(t) = 0.
-1, -2/3, 1
Let v be 3/15 + -2*36/(-40). Let i = -9927 - -129059/13. Factor 6/13*l**v - i - 22/13*l.
2*(l - 4)*(3*l + 1)/13
Suppose -2*x + 4 - 872 = 0. Let h = -431 - x. Factor -10/3*l**h + 0 + 8/3*l**2 + 0*l + 1/3*l**5 + 1/3*l**4.
l**2*(l - 2)*(l - 1)*(l + 4)/3
Let i(k) be the third derivative of k**7/6300 - k**6/600 + 17*k**4/12 + k**3/3 - 108*k**2. Let p(t) be the second derivative of i(t). Factor p(q).
2*q*(q - 3)/5
Let m be 8/120 - (-9087)/20970. Suppose 0*p**2 + 1/4 - 1/4*p**4 + 1/2*p - m*p**3 = 0. What is p?
-1, 1
Let x(g) be the second derivative of -3/50*g**5 + 0*g**6 + 0*g**2 + 10*g + 1/70*g**7 + 1/10*g**3 + 0*g**4 + 6. Determine y so that x(y) = 0.
-1, 0, 1
Let c = -13768 + 13791. Let b(z) be the first derivative of -5/3*z**3 - c - 720*z - 60*z**2. Determine t so that b(t) = 0.
-12
Let o = -50068 - -100175/2. Factor 3/4*h**3 + 0 + 507/4*h + o*h**2.
3*h*(h + 13)**2/4
Factor -280*l - 54/5*l**3 + 0 - 2/5*l**4 - 96*l**2.
-2*l*(l + 7)*(l + 10)**2/5
Suppose -2*m = -0*m - 8. Suppose 0 = -5*i - 3*c + 20, 2*c + 12 + m = 4*i. Factor 4*l**3 - 7*l**3 + i*l + 9*l**3 + 16*l**2 + 10*l**3.
4*l*(2*l + 1)**2
Let r(o) be the third derivative of 0 + 20/39*o**3 - 3*o - 1/390*o**5 + o**2 + 2/39*o**4. Factor r(m).
-2*(m - 10)*(m + 2)/13
Let f = -1433/3 - -478. Let z = 769 - 766. Factor 1/3*w**2 - 1/3 - f*w + 1/3*w**z.
(w - 1)*(w + 1)**2/3
Let j be -6 + 8 + 4*(-17)/(-2). Find v such that 10*v + 0*v**2 + 8*v + 9*v**2 - j - 11*v**2 = 0.
3, 6
Let w(v) = -v**2 + 6*v - 17. Let i be w(5). Let m be 0 + 5 - 4/(i/(-9)). Factor 6 - 8*f**2 - 3*f**4 + 17*f**m - 4*f**3 + 15*f - 4*f**3 + 5*f**3.
-3*(f - 2)*(f + 1)**3
Let j(h) be the first derivative of -95 + 18*h**2 + 261*h + 255*h - 516*h - 5*h**3. Determine t so that j(t) = 0.
0, 12/5
Suppose 2*q = -2*i - 3*q + 8, 0 = i + 5*q - 4. Let h(v) be the second derivative of -42*v - 1/3*v**i - 5*v**2 + 0 + 11/3*v**3. What is w in h(w) = 0?
1/2, 5
Suppose -1 = -5*p - 2*x, 4*p + 3 = -p - 4*x. Let q = 16 - p. Find j, given that -3*j**4 + 6 - 6*j**4 - 15*j + q*j**3 + 6*j**2 - 3*j**2 = 0.
-1, 2/3, 1
Let c be ((-744)/(-31))/(1/((-9)/(-6))). Determine p so that -8 + 9 - 46 + c*p - 27 - 4*p**2 = 0.
3, 6
Let p = -85/7279 - -15153/50953. Determine d so that 332750/7 + p*d**3 + 18150/7*d + 330/7*d**2 = 0.
-55
Let o(l) be the second derivative of -2 + 6/7*l**2 - 23/21*l**3 + 1/6*l**4 + 2*l. Let o(q) = 0. Calculate q.
2/7, 3
Let z(s) be the third derivative of s**6/720 + 159*s**5/40 + 75843*s**4/16 + 12