1*c**4/2 + 4*c**3 + 52*c**2 + 96*c + 3373. Let h(r) = 0. Calculate r.
-4, -3, -2, 2
Let i(c) be the third derivative of -c**7/14 + 103*c**6/20 - 21*c**5/20 - 103*c**4 + 82*c**3 + 756*c**2. Let i(y) = 0. Calculate y.
-2, 1/5, 2, 41
Let f(p) = p - 10. Let m be f(6). Let t be 4 + 5/10*m. Find g, given that -4 - 43*g**2 + 7 + 20*g**2 + 6*g + 26*g**t = 0.
-1
Suppose -11*k = -8*k - 30. Suppose k*m - 259 = 1. Suppose 14 - 45*g**4 + 107*g + m - 7*g - 310*g**2 + 215*g**3 = 0. Calculate g.
-2/9, 1, 2
Let l(f) be the first derivative of 15*f**3 + 1290*f**2 + 36980*f - 588. Determine h, given that l(h) = 0.
-86/3
Let z(g) be the first derivative of -g**4/32 - g**3/6 + 5*g**2/16 - 80. Determine q so that z(q) = 0.
-5, 0, 1
Factor 2/15*z**2 + 58/5 - 64/15*z.
2*(z - 29)*(z - 3)/15
What is i in -22*i - 76 + 0*i - 8*i**2 + 22 - 34*i + 6*i**2 = 0?
-27, -1
Let u(m) be the second derivative of m**4/16 - 281*m**3/12 - 47*m**2 + 904*m. Determine q so that u(q) = 0.
-2/3, 188
Let z(d) = -18*d + 131. Let l be z(7). Factor -18*x**3 - x**l + 6*x**5 + 5*x**4 - 5*x**2 + 3*x + 13*x**3 - 3*x.
5*x**2*(x - 1)*(x + 1)**2
Solve 4/5*o**4 + 0 - 72/5*o - 44/5*o**2 + 32/5*o**3 = 0 for o.
-9, -1, 0, 2
Let o(q) = 2*q**3 - 11*q**2 - 4*q. Let b be o(6). Solve -47*r**2 - b + 24*r**2 + 3*r - 12*r**4 - 6*r**3 + 23*r**2 + 3*r**5 + 24*r**2 = 0.
-1, 1, 4
Let t = 213 + -149. Factor -4*r**3 - t*r**2 + 30*r**2 + 30*r**2.
-4*r**2*(r + 1)
Factor 124/5*v**2 + 44/5*v**4 + 41/5*v + 126/5*v**3 + 1/5*v**5 + 0.
v*(v + 1)**3*(v + 41)/5
Let w(j) be the third derivative of j**7/1050 + j**6/100 + 13*j**5/300 + j**4/10 + 2*j**3/15 - 21*j**2 + 2*j. Suppose w(y) = 0. What is y?
-2, -1
Let g(v) = v**5 + v - 1. Let n(q) = 4*q**5 + 9*q**4 + 3*q - 3. Suppose -2*l = 4*l + 24. Let b(f) = l*n(f) + 12*g(f). Factor b(p).
-4*p**4*(p + 9)
Let l(s) be the first derivative of -13*s**3/3 - 43*s**2/10 - 6*s/5 + 6537. Determine n, given that l(n) = 0.
-6/13, -1/5
Suppose -66 = -411927*g + 411905*g. What is k in 2*k**2 + 4/3 + g*k + 1/3*k**3 = 0?
-4, -1
Let r be ((-6)/(-90))/(((-5)/108)/((-10)/4)). Find j, given that -6*j + 48/5*j**5 - 68/5*j**4 + 64/5*j**2 + 4/5 - r*j**3 = 0.
-1, 1/4, 1/2, 2/3, 1
Suppose 117*q = 109*q + 32. Let r(n) be the third derivative of -1/60*n**6 + 0 + 0*n**q + 7*n**2 + 0*n + 0*n**5 + 0*n**3. Factor r(h).
-2*h**3
Let q(r) be the second derivative of -7*r**5/50 + 25*r**4/3 - 1496*r**3/15 - 448*r**2/5 + 2*r - 554. Solve q(v) = 0 for v.
-2/7, 8, 28
Let k(r) be the second derivative of 30*r + 1/21*r**4 + 0*r**2 + 0*r**5 + 1/21*r**3 - 1 - 2/105*r**6 - 1/147*r**7. Factor k(x).
-2*x*(x - 1)*(x + 1)**3/7
Let w(a) be the third derivative of -17*a**6/720 - 13*a**5/45 - 97*a**4/144 - 5*a**3/18 + 5674*a**2. Solve w(x) = 0 for x.
-5, -1, -2/17
What is c in 30/17*c**3 - 6/17*c**5 - 46/17*c**4 - 24/17*c - 64/17 + 110/17*c**2 = 0?
-8, -1, 1, 4/3
Suppose -2*d + 6*d + 3*f - 9 = 0, 4*f = 2*d - 32. Let b be (3 - -1)/(14/(d + 1)). Factor -4/5*i**b - 8/15 - 2/15*i**3 - 6/5*i.
-2*(i + 1)**2*(i + 4)/15
Let x(p) be the third derivative of -p**8/5040 + p**7/1260 + p**6/30 - 13*p**5/10 + 2*p**2 - 2. Let z(j) be the third derivative of x(j). Factor z(t).
-4*(t - 3)*(t + 2)
Factor 17*g**3 - 19246*g**4 + 9621*g**4 - 29*g**2 + 10*g + 9627*g**4.
g*(g - 1)*(g + 10)*(2*g - 1)
Suppose -5*s + 120 = -9*i + 4*i, -2*s + 56 = 2*i. Suppose -s*v**2 + 15*v**2 - 65*v**3 + 42*v**4 + 12*v + 2 + 3*v + 17*v**2 = 0. What is v?
-2/7, -1/6, 1
Find b, given that -102/7*b + 123 - 3/7*b**2 = 0.
-41, 7
Let h be -5 - (-740)/160 - 3/(-8). Let u(c) be the second derivative of -1/18*c**4 + 0 + 1/60*c**5 + h*c**2 + 0*c**3 + 7*c. Factor u(a).
a**2*(a - 2)/3
Let l be (206/(-4))/(171/18 - 9). Let h = l + 106. Factor -1/4*r**2 + 1/4*r - 1/4*r**h + 1/4.
-(r - 1)*(r + 1)**2/4
Suppose 42*f = 2*s + 8 + 76, -4*s - 4 = -2*f. Let l**f - 1/4*l**3 + 11/4*l - 15/2 = 0. Calculate l.
-3, 2, 5
Let y be ((-3857)/(-38))/29*(-12)/(-105). Factor -8/5 + 0*v + y*v**2.
2*(v - 2)*(v + 2)/5
Let u(r) be the first derivative of 3*r**5/5 - 211*r**4/4 + 62*r**3/3 + 278*r**2 + 280*r - 943. Solve u(s) = 0 for s.
-1, -2/3, 2, 70
Let z(p) be the second derivative of 2888/5*p**3 - 18 - 219488/5*p**2 - 19/5*p**4 + 2*p + 1/100*p**5. Let z(x) = 0. What is x?
76
Let n(p) = 78*p**3 - 84680*p**2 + 67806*p - 13525. Let v(y) = 19*y**3 - 21170*y**2 + 16954*y - 3381. Let l(w) = -6*n(w) + 22*v(w). Factor l(h).
-2*(h - 846)*(5*h - 2)**2
What is u in -268/13*u - 6/13*u**3 + 240/13 - 134/13*u**2 = 0?
-20, -3, 2/3
Let c be (-4)/(-18) + 240/135. Let x be 45/(-60)*c/18*-3. What is w in -1/4*w**2 - x*w + 0 = 0?
-1, 0
Let d be (-246)/(-24) + -1 + (-693)/77. Let a = -29/4 + 15/2. Suppose -d*c**2 - 1/2*c + 0 + a*c**3 = 0. What is c?
-1, 0, 2
Let z(n) be the first derivative of -n**5/20 + 89*n**4/32 - 193*n**3/8 + 109*n**2/2 + 74*n + 6520. Let z(i) = 0. What is i?
-1/2, 4, 37
Let n = 12639 + -12637. Let p(b) be the first derivative of 363/4*b + 3 + 1/4*b**3 + 33/4*b**n. Factor p(d).
3*(d + 11)**2/4
Let i(v) be the third derivative of 0*v + 0*v**3 - 1/240*v**5 + 0 + 37*v**2 + 1/24*v**4. Factor i(f).
-f*(f - 4)/4
Let r(b) = -9*b**2 + 35*b + 1050. Let p be r(-9). Factor 1/2*a**2 - p + 11/2*a.
(a - 1)*(a + 12)/2
Let h = 12111 - 96885/8. Suppose 2*u - 6*u - 4 = 0, -2*k + 7 = -3*u. Factor -h*t**3 - 3/2 + 3/2*t + 3/8*t**k.
-3*(t - 2)*(t - 1)*(t + 2)/8
Suppose 0 = -0*h + 7*h - 602. Let t = -84 + h. Find r such that -4 + 7*r**3 + 203*r**2 + r**3 - 191*r**t = 0.
-1, 1/2
Let n be (250/35 + -7)*4528. Let p = n - 646. Factor 2/7*x**2 + p*x + 4/7.
2*(x + 1)*(x + 2)/7
Let k(y) be the third derivative of y**6/60 - 31*y**5/210 + 11*y**4/28 - 3*y**3/7 - 18*y**2 - 5. Factor k(l).
2*(l - 3)*(l - 1)*(7*l - 3)/7
Let o be (-18*(-16)/(-24))/(1830/(-488)). Solve -o*g**2 + 0*g - 12/5*g**3 + 0 = 0.
-4/3, 0
Let h(c) = -9*c**2 - 11*c + 34. Suppose -4*p - g - 8 + 19 = 0, 3*p = 3*g - 3. Let u(n) = 3*n**2 + 4*n - 11. Let x(l) = p*h(l) + 7*u(l). Factor x(t).
3*(t - 1)*(t + 3)
Let l(m) be the first derivative of m**6/9 + 308*m**5/45 - 263*m**4/18 + 212*m**3/27 - 4212. Suppose l(w) = 0. What is w?
-53, 0, 2/3, 1
Factor 2/7*h**3 - 82*h - 20/7*h**2 - 336.
2*(h - 24)*(h + 7)**2/7
Factor 5 + 66*p**2 + 76*p**2 - 3 - 197*p - 88*p.
(p - 2)*(142*p - 1)
Suppose 4*b + 17 - 13 = -2*c, b + 12 = 5*c. Let r be (-30)/(-20) + (-2)/4*-3. Factor -5/6*v - 2/3*v**4 + 2/3*v**r + 1/3*v**c + 1/3 + 1/6*v**5.
(v - 2)*(v - 1)**3*(v + 1)/6
Let i be ((-208)/14)/(72180/(-28070)). Solve -2/3*u**5 + i*u**4 - 88/9*u + 94/9*u**3 + 80/9 - 44/3*u**2 = 0.
-2, -1, 2/3, 1, 10
Factor -5*a**4 - 8 + 102*a + 55*a**3 + 195*a**2 + 33*a + 70*a + 78.
-5*(a - 14)*(a + 1)**3
Let d(y) = 9*y**2 + 28*y + 40. Let a(h) be the second derivative of h**4/3 + 7*h**3/3 + 10*h**2 + 67*h. Let o(w) = 5*a(w) - 2*d(w). Factor o(c).
2*(c + 2)*(c + 5)
Let m be 45/(-54) - 51/(-18). Determine h so that 14*h**m - 2*h**3 - 13*h**2 + 2*h - h**4 - 113 + 113 = 0.
-2, -1, 0, 1
Suppose -c - 2*t + 44 + 13 = 0, 0 = 3*t. Suppose 2*l + 4*k = -l + 38, -k - c = -4*l. Solve 2 - 9*v - 5*v**2 + 3*v - l*v - 17 = 0.
-3, -1
Let i(c) be the first derivative of -29*c + c**3 - 1/30*c**5 + 13 - 5/3*c**2 - 1/6*c**4. Let u(o) be the first derivative of i(o). Solve u(y) = 0.
-5, 1
Determine i, given that 6*i**2 + 156 - 3/2*i**3 + 327/2*i = 0.
-8, -1, 13
Let g(b) be the first derivative of -63 + 1/9*b**3 + 8/3*b + 3/2*b**2. Factor g(l).
(l + 1)*(l + 8)/3
Let h(z) be the first derivative of 1/16*z**4 + 231 + 250047/4*z + 11907/8*z**2 + 63/4*z**3. Factor h(u).
(u + 63)**3/4
Suppose 0*t**2 - 2/7*t**4 + 12/7*t**3 - 64/7*t + 0 = 0. What is t?
-2, 0, 4
Let d = -15 + 66. Suppose o = 4*r + 30, -5*r - 231 = -5*o - d. What is l in -4*l**3 + o*l**2 - 26*l**2 - 17*l**2 + 2 + 7*l = 0?
-2, -1/4, 1
Let r(i) = -5*i**2 - 18*i - 13. Let x(y) be the second derivative of 65/12*y**4 + 25*y + 0 + 235/6*y**3 + 85*y**2. Let o(s) = -40*r(s) - 3*x(s). Factor o(q).
5*(q + 1)*(q + 2)
Let v(a) = a**3 + 7*a**2 + 3*a - 14. Let d be v(-6). Let s be (-33)/(-12) - d/(-16). Solve 6*l**3 + 6*l**3 - 3*l**4 - 3*l**s = 0 for l.
0, 3
Let r(p) be the second derivative of p**4/12 - 343*p**3/3 + 684*p**2 - 3304*p. Suppose r(k) = 0. What is k?
2, 684
Let y be (-8)/(-14)*(-567)/(-54) - (-5)/(-5). Let s(o) be the third derivative of 0 - 1/300*o**y + 0*o**4 + 26*o**2 + 1/30*o**3 + 0