f).
-2*f*(f + 2)
Suppose 155/2*y**2 + 126*y - 1/4*y**4 + 27/4*y**3 + 0 = 0. Calculate y.
-7, -2, 0, 36
Let u(r) = -13*r**3 - 11*r**2 + 10*r + 5. Let a be u(5). Let c be 8 - 1 - (a/(-35))/9. What is y in -58/7*y**3 + 0 + 48/7*y**2 + 18/7*y**4 - c*y = 0?
0, 2/9, 1, 2
Let r = 205 + -197. Find p such that -35*p**2 - r*p + 3*p**2 - 20*p**3 + 11*p - 24 + 73*p = 0.
-3, 2/5, 1
Let z be ((-45)/6*2)/((-6)/(-4)). Let y be z/50 + 36/30. What is f in 6/5*f + y + 1/5*f**2 = 0?
-5, -1
Let x(h) be the third derivative of 4*h**2 + 1/735*h**7 + 1/420*h**6 + 0*h**4 - 1/105*h**5 + 2 + 0*h**3 + 0*h. Factor x(u).
2*u**2*(u - 1)*(u + 2)/7
Factor 97*u**3 + 296 + 151 - 111 + 196*u**2 + 23*u**3 + 4*u**4 - 768*u + 112.
4*(u - 1)**2*(u + 4)*(u + 28)
Let g = -128 - -156. Suppose 30*a - 30 = g*a. Factor 11*f**4 - 178 + 9*f**4 + 65*f**3 - 80*f + a*f**2 + 158.
5*(f - 1)*(f + 2)**2*(4*f + 1)
Let a = -314981 - -314983. Factor 4/9*h**a + 40/3*h + 116/9.
4*(h + 1)*(h + 29)/9
Let f(a) = 20*a**3 - 1044*a**2 + 3016*a - 2268. Let y(i) = i**3 - i**2 + i - 9. Let g(q) = -f(q) + 4*y(q). Factor g(k).
-4*(k - 62)*(2*k - 3)**2
Let a(x) = -x**3 + 16*x**2 + 40. Let w be a(16). Let 125*o + 5*o**2 + w - 175*o + 0*o**3 + 5*o**3 = 0. Calculate o.
-4, 1, 2
Let p(y) be the third derivative of -1/140*y**5 - 1/168*y**4 + 1/840*y**6 + 1/21*y**3 + 0 - 5*y**2 + y + 1/1470*y**7. Factor p(r).
(r - 1)**2*(r + 1)*(r + 2)/7
Let -179*k - 3*k**2 + 620*k + 3*k**2 + 3*k**2 + 615 - 177 = 0. Calculate k.
-146, -1
Let a(q) = -q**5 + 2*q**4 + 4*q**3 - 2*q**2 - 3*q - 2. Let h(k) = k**5 + k**4 - k**3 - k**2 - 1. Suppose -9*d + 14 = 32. Let r(z) = d*h(z) + a(z). Factor r(y).
-3*y*(y - 1)**2*(y + 1)**2
Let o be 1*(9 - 2) + 0/(-4). Let s be (o + -1)/(121/44). Factor s*q**3 - 18/11*q**4 - 2/11 + 4/11*q**2 - 8/11*q.
-2*(q - 1)**2*(3*q + 1)**2/11
Solve 164/5*y**2 - 12/5*y**4 + 4*y**3 + 172/5*y + 8 = 0.
-2, -1, -1/3, 5
Let o(a) be the first derivative of 25 + 37/2*a**2 + 2/5*a**3 + 0*a + 1/10*a**4 + 1/100*a**5. Let t(j) be the second derivative of o(j). Factor t(z).
3*(z + 2)**2/5
Suppose -4 - 17 = -3*b. Let i be 4/28 + 104/b. Solve -3*j**2 + i - 9*j - 39 + 18 = 0.
-2, -1
Let t be (-154)/(-28) - 6/12. Let n = -1 + 3. Solve -3*f + 3*f + 3*f - 45 - t*f**3 + 45*f**n + 2*f = 0 for f.
-1, 1, 9
Suppose 96/7*u - 2/7*u**5 - 158/7*u**2 - 94/7*u**3 + 128/7 + 30/7*u**4 = 0. Calculate u.
-1, 1, 8
Let d(q) be the second derivative of -3*q**5/4 + 3175*q**4/12 + 4255*q**3/6 + 1065*q**2/2 + 1872*q. Factor d(w).
-5*(w - 213)*(w + 1)*(3*w + 1)
Let o(f) be the first derivative of 66 + 2/39*f**3 + 7/13*f**2 - 36/13*f. Factor o(p).
2*(p - 2)*(p + 9)/13
Let q = 12684 - 12680. Let s(f) be the second derivative of 1/120*f**q - 1/10*f**2 + 0 + 21*f - 1/60*f**3. Find x such that s(x) = 0.
-1, 2
Let q = -687 - -927. Suppose 254*n = q*n. Factor n + 1/6*p - 1/6*p**2.
-p*(p - 1)/6
Let h be ((-1)/2)/(3/(-12)). Let c be 7/56 - ((-30)/24 - (-2)/2). Suppose 3/8*u**h + c + 3/4*u = 0. Calculate u.
-1
Let m be 2/(1 + (-5)/10). Let l be 3/(-8) - (1243/(-264) + m). Factor 2/3*o**2 - 1/3*o**5 + 2/3*o**3 - 1/3*o - l - 1/3*o**4.
-(o - 1)**2*(o + 1)**3/3
Let z(u) be the third derivative of 5*u**8/336 + 67*u**7/14 + 4999*u**6/12 - 5201*u**5/6 - 16665*u**4/8 + 51005*u**3/6 - 2*u**2 - 8*u + 21. Solve z(k) = 0.
-101, -1, 1
Let x(p) be the first derivative of p**3/6 + 7*p**2/4 + 1489. What is g in x(g) = 0?
-7, 0
Suppose 0 = l + l - 10, -5*b + 6205 = 4*l. Determine d so that -b*d**2 + 1321*d**2 + 180*d + 57 - 4*d**3 + 35 = 0.
-1, 23
Let q = 1071 + -1218. Let g be 1 + 8 - q/(-21). Suppose 32/15 + 16/15*l + 2/15*l**g = 0. What is l?
-4
Let v = 78757/12 - 6563. Let x(t) be the second derivative of 7/30*t**6 - 29*t - 43/80*t**5 + 0*t**2 - v*t**3 + 0 + 17/48*t**4. Determine a so that x(a) = 0.
0, 1/4, 2/7, 1
Let q(w) be the second derivative of -w**6/120 - 11*w**5/40 + 14*w**4/3 - 20*w**3 + 29*w + 13. Let q(v) = 0. What is v?
-30, 0, 4
Let r be (-18)/(-7) - (23822/602 - 39). What is c in -16/3 + 1010/3*c**3 + 72*c + 24*c**5 - 292*c**r - 152*c**4 = 0?
1/6, 2
Let c be (1/((-3)/(-12)) - 2) + -101. Let g = 199/2 + c. Let s + 0 - g*s**2 = 0. Calculate s.
0, 2
Let u(v) = -35*v**3 + 3290*v**2 + 374*v - 378. Let t(l) = 70*l**3 - 6582*l**2 - 745*l + 757. Let m(j) = -8*t(j) - 20*u(j). Suppose m(z) = 0. What is z?
-2/5, 2/7, 94
Let d be (-3 - 2)/((-3)/(1 + 2)). Let h = -3 - -12. Factor -11 - q**3 - 14*q**2 + 10*q**2 + h - d*q.
-(q + 1)**2*(q + 2)
Suppose 5*i + 63 - 123 = 0. Suppose 20 = -4*n + 5*z, -i = n - 3*z - 0*z. Factor 0*g + 8/3*g**2 + n - 4/3*g**4 - 4/3*g**3.
-4*g**2*(g - 1)*(g + 2)/3
Let d(f) = -24*f + 50. Let r be d(2). What is b in 59*b**3 + 2*b**2 - 36 + 0 + 4*b**5 + 8*b + 6*b**r - 3*b**3 + 28*b**4 - 68*b = 0?
-3, -1, 1
Let b(q) be the second derivative of q**4/3 - 6*q**3 - 2*q - 62. Let h(z) = -8*z**2 + 72*z. Let i(d) = 7*b(d) + 3*h(d). Solve i(v) = 0 for v.
0, 9
Suppose 256*j = 5*y + 257*j - 10, 0 = -2*y + j + 4. Let x(i) be the first derivative of 37 + 32/7*i - 2/7*i**3 - 22/7*i**y. Factor x(b).
-2*(b + 8)*(3*b - 2)/7
Let a(h) be the first derivative of h**4/4 - 11*h**3 - 156*h**2 - 656*h + 4940. Factor a(y).
(y - 41)*(y + 4)**2
Suppose 0 = -291*z + 305*z + 13328. Let a = z - -954. Factor 24/7*s - 4/7*s**a - 36/7.
-4*(s - 3)**2/7
Find o such that -2/5*o**2 + 22/15*o - 4/5 = 0.
2/3, 3
Let j(d) be the first derivative of 176 + 8*d**4 + 32*d**2 + 0*d - 4/5*d**5 - 80/3*d**3. Determine f, given that j(f) = 0.
0, 2, 4
Let d(r) be the first derivative of -r**3/18 + 209*r**2/6 - 43681*r/6 + 665. Suppose d(h) = 0. What is h?
209
Let o be 30/9 + ((-144)/27 - -4). Let w(p) be the first derivative of 3/7*p**3 + 3/7*p - 3 - 9/14*p**o - 3/28*p**4. Solve w(a) = 0.
1
Let i be -2 + (2 - 78)/(-2). Suppose -4 = -8*p + i. Determine c so that 2*c + 10*c + 2 - p*c**2 + 8*c - 22 = 0.
2
Solve -2140*a**3 - 2132*a**3 + 4268*a**3 + 47*a**2 - 15*a**2 - 76*a + 12*a = 0.
0, 4
Factor 2/5*z**2 + 40 - 8*z.
2*(z - 10)**2/5
Let t(c) be the second derivative of -c**10/15120 + c**9/5040 - c**7/2520 + 45*c**4/4 - c + 89. Let r(d) be the third derivative of t(d). Factor r(i).
-i**2*(i - 1)**2*(2*i + 1)
Suppose 0 = 67*b - 71*b + 8. Factor 32*v**b + 2*v**4 - 34 + 34 - 7*v**3 - 9*v**3.
2*v**2*(v - 4)**2
Let r(w) = w**3 + w**2 - 2. Let b(t) = -5*t**4 - 10*t**3 - 65*t**2 - 100*t - 90. Let a = -465 - -464. Let l(z) = a*b(z) + 25*r(z). Factor l(k).
5*(k + 1)*(k + 2)**3
Let q(o) be the second derivative of o**6/10 - 99*o**5/5 + 2111*o**4/2 + 4422*o**3 + 13467*o**2/2 - 2829*o. Find t, given that q(t) = 0.
-1, 67
Let y(g) be the third derivative of -g**5/15 - 625*g**4/6 - 1173*g**2. Factor y(l).
-4*l*(l + 625)
Let v be (5 - (-1323)/(-270))/14. Let h(b) be the second derivative of -13*b + 1/84*b**4 + 0*b**2 + 0 + v*b**5 - 1/21*b**3. Factor h(n).
n*(n - 1)*(n + 2)/7
Let l = -67 - -69. Let m be (((-150)/(-3))/5)/l. Find h such that 5*h**2 - m*h**3 + 13*h**2 + 5*h - 5*h**4 - 13*h**2 = 0.
-1, 0, 1
What is b in -9918*b**2 - 48*b**4 + 9382*b**2 + 20*b**4 + 1440 + 167*b**3 - 1776*b + 133*b**3 = 0?
-2, 5/7, 6
Let -388/7 - 56*t - 4/7*t**2 = 0. What is t?
-97, -1
Let g(k) be the third derivative of 0 - 11/13*k**5 - 1/1365*k**7 - 242/39*k**4 - 2*k - 8/195*k**6 + 1331/39*k**3 - 8*k**2. Find j, given that g(j) = 0.
-11, 1
Let m(k) be the second derivative of -k**8/10080 - k**7/270 - k**6/120 + 9*k**5/5 + 33*k**4/4 - 23*k + 4. Let b(o) be the third derivative of m(o). Factor b(q).
-2*(q - 4)*(q + 9)**2/3
Let z(a) = -4*a - 17. Let f be z(-13). Solve j**2 + f + 68*j - 98*j - 6*j**2 = 0.
-7, 1
Let u(n) = 5*n**4 + 55*n**3 - 45*n**2 - 780*n + 1075. Let m(t) = 5*t**4 + 55*t**3 - 38*t**2 - 780*t + 1076. Let o(a) = 5*m(a) - 4*u(a). Solve o(g) = 0.
-9, -6, 2
Let s(l) be the first derivative of -l**4/18 - 98*l**3/9 - 2401*l**2/3 + 210*l + 126. Let y(t) be the first derivative of s(t). Suppose y(w) = 0. What is w?
-49
Let s be (-4)/(-14) - (-1442)/98. Let z(a) = 4*a + 4. Let t be z(6). Factor -5 + t*m + 0*m**3 - s*m**2 - 13*m + 5*m**3.
5*(m - 1)**3
What is i in 15/2*i**3 + 306*i + 768*i**2 + 0 = 0?
-102, -2/5, 0
Let d = 349/52 - -11587/104. Let h = d + -8489/72. Factor -2/9*k**2 + 4/9 - h*k.
-2*(k - 1)*(k + 2)/9
Let c be 4/56 + (-1236)/(-336). Let z(p) be the first derivative of 0*p + 9 - 5/3*p**3 - c*p**4 - 3*p**5 - 5/6*p**6 + 0*p**2. Supp