
1, 2, 7
Suppose -2*q - 3*q = -20. Suppose 0 = -0*i - 2*i + q. Suppose -25*s**5 + 122*s**4 + 3*s + 47*s**2 - 20*s**4 + s**5 - 141*s**3 - 6 + 19*s**i = 0. What is s?
-1/4, 1/2, 1, 2
Factor -175*t**2 - 18358*t**4 + 18363*t**4 + 143*t**3 - 165*t + 170 + 22*t**3.
5*(t - 1)**2*(t + 1)*(t + 34)
Let f = 8 - -68. Suppose 3*c = 7*c - f. Solve 0*q - 12*q**4 - 4*q**3 - 13*q**2 - c*q**3 - 2*q = 0.
-1, -2/3, -1/4, 0
Suppose -5/2*r**3 + 315*r**2 + 185220 - 13230*r = 0. Calculate r.
42
Let y be 26/247 - (-5)/((-190)/(-4936)). Let r = y - 130. What is c in r - 3/4*c**2 - 1/2*c - 1/4*c**3 = 0?
-2, -1, 0
Factor -2/7*n**2 + 2/7*n**3 - 8/7*n + 8/7.
2*(n - 2)*(n - 1)*(n + 2)/7
Suppose -5*r - 5*v + 9 = -6, 3*r - 5*v - 9 = 0. Suppose -3*t = 5*b - 6, -r*b + b = 2*t. Let 3/2*c**b + 3*c + 0 - 11/2*c**2 = 0. What is c?
0, 2/3, 3
Let a(b) be the third derivative of -b**7/105 + b**6/60 + 2*b**5/15 - b**4/3 + 208*b**2. Factor a(i).
-2*i*(i - 2)*(i - 1)*(i + 2)
Let k(x) be the first derivative of -2*x**5/5 - 3*x**4 - 6*x**3 + 4*x**2 + 24*x - 690. Find q, given that k(q) = 0.
-3, -2, 1
Let m be (-46)/(-8) - (-2 + 8 - 1). Factor 0*g + m - 3/4*g**2.
-3*(g - 1)*(g + 1)/4
Let b be ((-2)/((-8)/(-6)))/(650/(-200)). Suppose -25*l = -20*l - 10. Determine d so that 4/13*d**l - b*d**3 - 4/13 + 6/13*d = 0.
-1, 2/3, 1
Let c(x) be the first derivative of -x**6/240 - x**5/24 - 7*x**4/48 - x**3/4 + 27*x**2/2 - 23. Let k(z) be the second derivative of c(z). Factor k(t).
-(t + 1)**2*(t + 3)/2
Let x(s) be the second derivative of 21*s**5/80 - 29*s**4/8 - 31*s**3/2 + 15*s**2 + 784*s. Factor x(g).
3*(g - 10)*(g + 2)*(7*g - 2)/4
Let h(y) be the first derivative of 10*y**6/3 - 45*y**5 + 775*y**4/4 - 500*y**3/3 - 600*y**2 + 320*y + 90. Suppose h(u) = 0. What is u?
-1, 1/4, 4
Determine p so that -3*p + 3*p - 609*p**3 + 304*p**3 + 300*p**3 + 20*p**2 = 0.
0, 4
Suppose -3*p - 3*s + 7*s = -25, -3*p + 39 = 3*s. Let b be p - 1*(-4)/4. Factor -24*w**2 - 3/2 - b*w.
-3*(4*w + 1)**2/2
Let n = 3801 - 3801. Suppose 3*w**2 - 3/2*w**3 + n*w + 0 - 3/2*w**4 = 0. What is w?
-2, 0, 1
Let i(v) be the first derivative of 5*v**4/8 - 5*v**3/6 - 5*v**2/4 + 5*v/2 - 100. Determine u so that i(u) = 0.
-1, 1
Let r(b) = 3*b - 3. Let v be r(2). Suppose 2*x + 20 = 5*k, 4*k - v*k - 4*x - 22 = 0. Factor -w - 2*w**4 + k*w**3 - w**5 + 4 - 2*w**2 - 3 + 0*w + 3*w**4.
-(w - 1)**3*(w + 1)**2
Determine v, given that 45/4*v**4 - 179/2*v**3 + 287*v**2 - 1/2*v**5 + 343/4 - 294*v = 0.
1/2, 1, 7
Factor -1/6*t**2 - 7/6*t - 5/3.
-(t + 2)*(t + 5)/6
Let q(o) be the first derivative of o**6/2 + 3*o**5 - 3*o**4 - 20*o**3 - 82. Factor q(m).
3*m**2*(m - 2)*(m + 2)*(m + 5)
Let d(a) = 15*a - 118. Let s be d(8). Let i(b) be the second derivative of -1/30*b**4 + 0*b**s + 1/15*b**3 + b + 0. Factor i(o).
-2*o*(o - 1)/5
Let w(x) be the first derivative of -x**5 + 95*x**4/2 + 65*x**3 - 288. Solve w(y) = 0.
-1, 0, 39
Let f be (-4)/6 - (-8 - 12/(-9)). Let i(g) be the third derivative of 0 + 5*g**2 + 0*g - 1/600*g**f - 1/75*g**5 - 1/24*g**4 - 1/15*g**3. Factor i(q).
-(q + 1)**2*(q + 2)/5
Let x be (13/(-182))/(((-4)/14)/(72/42)). Determine r so that -6/7*r**2 + 3/7*r**3 + 6/7 - x*r = 0.
-1, 1, 2
Let b be 8/28 + 33/7. Suppose 7*g - 4*g - 24 = -b*z, 5*g - 30 = -5*z. What is h in z*h**3 + 27*h**5 - 15*h**3 - 8*h**2 - 8*h**5 - 15*h**5 = 0?
-1, 0, 2
Let g(z) be the third derivative of 0 - 1/42*z**7 + 0*z**4 + 7/24*z**6 + 0*z**3 + 0*z + 2/3*z**5 - 47*z**2. Factor g(a).
-5*a**2*(a - 8)*(a + 1)
Suppose 3*q + 5*d = 7, -4*d - 14 = -5*q + 10. Let w(p) be the first derivative of -3*p**3 - 16*p + 12*p**2 + 1/4*p**q - 5. What is l in w(l) = 0?
1, 4
Suppose q - d - 4 = d, -2*d = 4*q - 6. Let w be (q - 1 - -1) + 0. Factor -3*t - 1 - t**2 + w*t**2 + 3.
(t - 2)*(t - 1)
Let s be 6 + -11 + (-948)/(-180). Let g(w) = -2*w - 2. Let q be g(-2). Factor -2/15*n**q + s*n - 2/15.
-2*(n - 1)**2/15
Let y(o) = 2*o**3 + 81*o**2 + 860*o + 2307. Let r(a) = -a**2 - 2*a + 1. Let c(v) = -5*r(v) - y(v). Let c(u) = 0. Calculate u.
-17, -4
Determine f, given that -7*f**2 - 1376 + 16*f**2 + 1298 + 111*f = 0.
-13, 2/3
Let v = -1193 + 1195. Let z = 92/5 + -18. Find x such that 0*x**v - z*x**4 + 0 - 2/5*x**3 + 0*x = 0.
-1, 0
Suppose -65*l - 3 + 3 = -64*l. Factor -2*t**4 + l*t + 0 - 4*t**2 - 54/5*t**3.
-2*t**2*(t + 5)*(5*t + 2)/5
Let q(a) be the first derivative of 2*a**3/21 - 192*a**2/7 + 18432*a/7 - 364. Factor q(i).
2*(i - 96)**2/7
Let y = -960 - -3641. Let y - 3*m**2 - 3*m**4 + 6*m**3 - 2681 = 0. Calculate m.
0, 1
Factor 1031*o - 548*o**2 + 12*o**3 + 3505*o + 2221*o + 2116 - 981*o + 388*o.
4*(o - 23)**2*(3*o + 1)
Let t(f) = -f**3 - 8*f**2 - f + 1. Let s(p) = p**3 - 234*p**2 - 8187*p + 8447. Let h(n) = -s(n) - 3*t(n). Factor h(v).
2*(v - 1)*(v + 65)**2
Let f(g) be the second derivative of -7*g**7/1620 - 7*g**6/810 - g**5/135 - 7*g**4/3 - 8*g. Let k(c) be the third derivative of f(c). Let k(h) = 0. What is h?
-2/7
Suppose -6/7*d**3 - 12/7*d**2 + 9/7*d**5 - 3/7*d + 0 + 12/7*d**4 = 0. What is d?
-1, -1/3, 0, 1
Let i(k) be the second derivative of -k**5/5 + 4*k**4 - 26*k**3 + 56*k**2 - 13*k - 1. Let i(v) = 0. What is v?
1, 4, 7
Let a(x) be the third derivative of 0*x**3 + 1/150*x**6 + 1/2520*x**8 + 4/1575*x**7 + 0*x + 1/180*x**4 + 2/225*x**5 - 3*x**2 + 0. Factor a(t).
2*t*(t + 1)**4/15
Let p(t) be the third derivative of -t**5/105 + 11*t**4/42 + 4*t**2 + 54. Find n, given that p(n) = 0.
0, 11
Factor -36*f + 3*f**2 - 69 - 15 + 4*f**2 - 5*f**2 + f**2.
3*(f - 14)*(f + 2)
Suppose 9 - 17 = -4*l. Determine x so that 150*x**3 + 140*x + 35*x**4 + 155*x**2 + 20 + 60*x**l - 20*x = 0.
-2, -1, -2/7
Factor 14/5*z - 2/5*z**2 - 12/5.
-2*(z - 6)*(z - 1)/5
Let v = 29 + -26. Factor 5*m**3 + 25 + 7*m**3 - 28 - 6*m**v + 9*m**2.
3*(m + 1)**2*(2*m - 1)
Let z(x) be the first derivative of -x**5/5 + 17*x**4/4 - 31*x**3 + 175*x**2/2 - 98*x + 39. Factor z(p).
-(p - 7)**2*(p - 2)*(p - 1)
Let i(y) be the first derivative of y**6/90 - 2*y**5/15 + 2*y**4/3 + 13*y**3/3 + 14. Let f(z) be the third derivative of i(z). Suppose f(o) = 0. Calculate o.
2
Let g(v) be the third derivative of -v**8/112 - v**7/10 - 11*v**6/40 - v**5/4 - 137*v**2. Factor g(p).
-3*p**2*(p + 1)**2*(p + 5)
Let c = 4814/15 + -958/3. Let o(k) be the second derivative of -4/15*k**3 + 1/5*k**4 + 1/10*k**5 - c*k**2 + 0 + 1/75*k**6 - 6*k. Factor o(d).
2*(d - 1)*(d + 2)**3/5
Let y = -7 - -50. Let n = 87/2 - y. Factor 5/4*v + n + 3/4*v**2 - 1/4*v**4 - 1/4*v**3.
-(v - 2)*(v + 1)**3/4
Let g(o) be the first derivative of -o**3 + 33*o**2 + 312*o + 304. Let g(b) = 0. What is b?
-4, 26
What is o in 11*o + 11*o - 3*o**2 + 36 - 4*o + 15*o = 0?
-1, 12
Let k(p) be the first derivative of p**6/3 + 2*p**5 - 15*p**4/2 - 10*p**3/3 + 14*p**2 - 427. Solve k(b) = 0 for b.
-7, -1, 0, 1, 2
Suppose -3*y + 17 = 5*f, 4*y - 8*y - 8 = -f. Let l(t) be the first derivative of 3/10*t**5 - f + 3/4*t**2 - 7/8*t**4 - t + 1/2*t**3. Factor l(q).
(q - 1)**3*(3*q + 2)/2
Let 0*g**3 + 0*g + 0 - 1/5*g**5 - 3/5*g**4 + 4/5*g**2 = 0. What is g?
-2, 0, 1
Let u be 4 - -2 - 616/105. Let m(i) be the first derivative of -4 + 1/6*i**4 + 4/3*i - 1/3*i**2 - 2/3*i**3 + u*i**5. Determine s, given that m(s) = 0.
-2, -1, 1
Let d(u) be the third derivative of 2*u**7/105 + u**6/10 - 3*u**5/5 + 5*u**4/6 - 577*u**2. Factor d(k).
4*k*(k - 1)**2*(k + 5)
Let a = -17729/56 + 633/2. Let c = 9/56 - a. What is g in -1/2*g**3 + 1/2*g + 1/4 + 0*g**2 - c*g**4 = 0?
-1, 1
Let b(q) be the third derivative of -q**7/3528 + 17*q**6/5040 - q**5/140 - 11*q**4/12 + 11*q**2. Let o(h) be the second derivative of b(h). Factor o(p).
-(p - 3)*(5*p - 2)/7
Let n be -6 + (3696/(-49))/(-11). Find i such that 2/7*i - n*i**3 + 4/7*i**2 + 0 = 0.
-1/3, 0, 1
Suppose 643 = 262*l + 119. What is r in 0*r - 3/2*r**3 + 0 - 9/2*r**l = 0?
-3, 0
Let l(x) = 2*x**2 - 38*x + 28. Let p(t) = t**2 - 17*t + 14. Let o(k) = -2*l(k) + 5*p(k). Solve o(m) = 0 for m.
2, 7
Let i(a) be the first derivative of 3*a**5/20 + 9*a**4/4 + 15*a**3/2 + 21*a**2/2 - a - 19. Let f(l) be the first derivative of i(l). Find j such that f(j) = 0.
-7, -1
Let p(l) be the second derivative of 35/12*l**4 - 235/6*l**3 - 17*l - 35*l**2 + 0. Let p(m) = 0. What is m?
-2/7, 7
Let u = -16/591 + 6022/4137. Find w, given that -u*w**3 - 2/7*w**4 + 0 + 0*w - 8/7*w**2 = 0.
-4, -1, 0
Let m(q) = 7*q**4 + 39*q**3