 + a, 0 = 3*q - 3*i. Let 6*c**4 - c**4 + c - 3*c**4 - 2 - q*c**3 + 3*c = 0. What is c?
-1, 1
Let v(t) be the third derivative of -t**8/252 - 17*t**7/210 - 3*t**6/10 + 25*t**5/18 + 2*t**4/3 - 15*t**3/2 - 7*t**2 - 57*t - 2. Solve v(l) = 0.
-9, -5, -3/4, 1
Let n(f) = -2*f**3 + 11*f**2 - 5*f + 2. Let u be n(5). Let r(g) be the first derivative of -2*g**3 + 21 - u*g**3 + 6 - 3*g**2 + 3*g**3. Factor r(a).
-3*a*(a + 2)
Suppose -114043168/3*d**2 + 56373760*d + 4/3*d**5 + 1114466/3*d**3 - 1218*d**4 - 56188928/3 = 0. What is d?
1/2, 1, 304
Let l(s) = -5*s**2 - 52 + 9*s - 7*s + 21*s**2 + 22*s. Let y(p) = -p**2 - 3*p + 1. Let i(t) = l(t) + 12*y(t). Solve i(j) = 0 for j.
-2, 5
Let h = 170 - 166. Factor 5*c**3 + 66*c**2 - 129*c**2 + 68*c**2 - 5*c**h - 2*c - 3*c.
-5*c*(c - 1)**2*(c + 1)
Let t be (-279)/(-108) + (-35)/15. Let x(h) be the first derivative of -3/4*h - 1/16*h**4 + 1/8*h**2 - 10 + t*h**3. Determine a so that x(a) = 0.
-1, 1, 3
Let t(m) be the first derivative of 8/9*m**3 - 17/3*m**2 - 10*m + 10. Factor t(i).
2*(i - 5)*(4*i + 3)/3
Let q be (-142)/(-300) - (-418)/15675. Determine g, given that q*g**4 + 24*g**2 + 7*g**3 - 49/2 - 7*g = 0.
-7, -1, 1
Let g(v) = 2*v**2 - 11724*v + 17181483. Let q(r) = 2*r**2 - 11724*r + 17181470. Let a(b) = 4*g(b) - 3*q(b). Factor a(t).
2*(t - 2931)**2
Let p(n) be the first derivative of -2*n**3/27 - 85*n**2/9 - 332*n/9 + 1198. What is b in p(b) = 0?
-83, -2
Factor 123 + 388*z + 7/4*z**3 - 593/4*z**2.
(z - 82)*(z - 3)*(7*z + 2)/4
Let b(l) be the third derivative of l**6/420 - 5*l**5/42 + 22*l**4/21 - 4*l**3 + 2*l**2 + 898*l. Solve b(z) = 0.
2, 21
Let q(o) be the first derivative of -5/12*o**3 - 2*o**2 + 4*o + 32. Factor q(i).
-(i + 4)*(5*i - 4)/4
Suppose -3*z = 5*c - 12, -c = 2*c + z - 8. Suppose -c*w + w + 4 = 0. Find h such that -17*h - 2*h**3 + 7*h**w - 15*h - 23*h**2 = 0.
-4, 0
Let b(i) be the first derivative of i**4/18 + 28*i**3/9 + 52*i**2/3 + 304*i/9 + 1907. Solve b(q) = 0.
-38, -2
Let o be (-17)/(51/(-5))*(3 - (0 - 0)). Let k(y) be the second derivative of 1/90*y**4 + 0 + 10*y + 1/50*y**o - 1/15*y**3 - 1/15*y**2. Factor k(v).
2*(v - 1)*(v + 1)*(3*v + 1)/15
Let y(i) be the first derivative of -1 - 1/20*i**4 + 1/10*i**2 + 1/5*i**3 - 2/5*i - 1/25*i**5. Solve y(g) = 0.
-2, -1, 1
Let -21216/5*l + 848 - 20*l**3 + 5316*l**2 = 0. Calculate l.
2/5, 265
Let y(q) be the first derivative of -1/12*q**6 - 7/6*q**3 + 0*q - 1/2*q**5 + 0*q**2 - 52 + 13/8*q**4. Find f, given that y(f) = 0.
-7, 0, 1
Let q = -200867455/7 + 28741065. Factor 64000/7*x - 2/7*x**4 + 160/7*x**3 - 4800/7*x**2 - q.
-2*(x - 20)**4/7
Factor 237265*m**2 - 24*m**3 - m**4 + 10*m**3 - 237328*m**2 - 90*m.
-m*(m + 3)*(m + 5)*(m + 6)
Let -8/3*r**3 - 32/3*r + 4/3*r**5 + 0 + 4*r**4 - 16*r**2 = 0. What is r?
-2, -1, 0, 2
Let m = -228347/20 - -57088/5. Determine s so that -m*s**4 - 9/4*s**2 - s + 0 - 3/2*s**3 = 0.
-4, -1, 0
Let k(g) be the third derivative of -g**5/150 - 5*g**4/6 + 1399*g**2. Determine c, given that k(c) = 0.
-50, 0
Suppose 5*r = 15, 0 = 2*d + 6*r - 7*r - 3. Factor -64*t + 28*t**4 - 35*t**2 - 716*t**3 + 500*t**d - 48 + 335*t**2.
4*(t - 6)*(t - 1)**2*(7*t + 2)
Let d(o) be the third derivative of -o**8/168 + 13*o**7/105 - 13*o**6/30 - 4*o**5/3 + 341*o**2 + 5. Solve d(w) = 0 for w.
-1, 0, 4, 10
Let m = 42 + -42. Suppose -2*v = -2*q - 1 + 11, -5*q + 2*v + 19 = m. Factor 6 - o + 55*o**q + 2 - 148*o**2 - 3*o + 89*o**3.
4*(o - 1)*(4*o - 1)*(9*o + 2)
Solve -574 - 3*c**3 + 78 - 7*c**2 - 272 + 43*c**2 = 0.
-4, 8
Let m be (1 - 4)/(1 - 44/32). Suppose 2*b = 4*a - m, 10 = b + 2*a + 2. Suppose -23*g**2 - 10*g**3 - 6*g + 2 + 8*g**2 - 3*g**b = 0. Calculate g.
-1, 1/5
Let p(o) = o**3 - 48*o**2 + 93*o - 46. Let q be p(46). Let c(v) be the first derivative of q*v + 1/5*v**5 - 12 + 5/4*v**4 + 8/3*v**3 + 2*v**2. Factor c(z).
z*(z + 1)*(z + 2)**2
Let k be -90*(-5)/30 + -11. Let a(p) be the first derivative of 0*p - 3/5*p**2 - 4/5*p**k - 14 + 22/15*p**3. Suppose a(f) = 0. Calculate f.
0, 3/8, 1
Let b(s) be the first derivative of -4*s**3/3 + 688*s**2 - 118336*s + 675. Determine z, given that b(z) = 0.
172
Let q(r) = 2*r**3 - 3*r**2 + r + 1. Let p(o) = -16*o**5 - 804*o**4 - 1748*o**3 - 1162*o**2 - 190*o + 2. Let j(u) = -p(u) + 2*q(u). Let j(g) = 0. Calculate g.
-48, -1, -1/4, 0
Let j be 8/20 + (18/30 - 1). Let g be j + 520/72 - 3. What is b in 14/9*b**4 + 10/3*b**2 - 2/9*b - 4/9 - g*b**3 = 0?
-2/7, 1
Let u(k) be the second derivative of -k**7/2520 - k**6/72 - 85*k**4/12 - 64*k. Let l(d) be the third derivative of u(d). Factor l(m).
-m*(m + 10)
Let v(i) be the first derivative of 24*i + 3/5*i**5 - 21/4*i**4 - 9*i**3 - 71 + 21/2*i**2. Factor v(r).
3*(r - 8)*(r - 1)*(r + 1)**2
Let r be (2992/(-102))/(1/(-30)). Factor -524*p - 658*p - r*p**2 - 2*p**4 - 39*p**3 + 382*p - 43*p**3.
-2*p*(p + 1)*(p + 20)**2
Let c = 1 - -1. Let h be 33/12 + 69/(-92). Find i such that 4 - h*i**2 - c*i**2 + 4*i + 2*i**2 + 3*i**2 = 0.
-2
Let j(u) = 2*u**2 + 164*u - 508. Let l be j(3). Let h(o) be the first derivative of 22 + 0*o**l + 1/12*o**3 + 0*o. Determine p, given that h(p) = 0.
0
Let p(o) be the first derivative of 86 + 1/51*o**6 - 4/51*o**3 + 8/85*o**5 + 2/17*o**4 - 5/17*o**2 - 4/17*o. Let p(a) = 0. Calculate a.
-2, -1, 1
Let u(q) be the third derivative of -7*q**6/60 - 94*q**5/15 - 367*q**4/28 - 78*q**3/7 - 112*q**2 - q. Factor u(f).
-2*(f + 26)*(7*f + 3)**2/7
Let b be ((-3)/(-9))/(-6 - (-805)/135). Let i(p) = 2*p**2 + 23*p + 49. Let t be i(b). Factor 0*l + 0*l**3 + 0 + 5/3*l**t - 5/3*l**2.
5*l**2*(l - 1)*(l + 1)/3
Let q = 2128 + -1978. Let u = q - 148. Factor -2/3*y**3 + 0*y + 2/3*y**4 - 4/3*y**u + 0.
2*y**2*(y - 2)*(y + 1)/3
Let y be -6*74/(-24) - (-205 + 213). Find u, given that 3/8*u**2 + y*u + 39/2 = 0.
-26, -2
Let s be (-11 - -16) + (1 - 2). Factor 4 - 39*f**3 + 2*f**4 + f**5 + 38*f**3 - 7*f**2 + f**s.
(f - 1)**2*(f + 1)*(f + 2)**2
Let r(l) = -5*l**3 + 255*l**2 - 471*l - 927. Let w be r(49). Factor -22/7*c**3 + 0 + 8/7*c**2 + 0*c + 2*c**w.
2*c**2*(c - 1)*(7*c - 4)/7
Let u(t) be the third derivative of 1/9*t**4 + 10*t**2 + 0*t - 1/315*t**7 + 1/540*t**6 - 1/1512*t**8 + 4/27*t**3 + 11/270*t**5 - 1. Solve u(r) = 0.
-2, -1, 2
Let x be -6*117/(-54)*(-1 - -2). Suppose x = 3*l + h, -2*l + 10 = h - 0*h. Let -7*f + 9*f**3 + 4*f**2 - l*f**3 - f**4 - f - 4*f**3 = 0. What is f?
-2, 0, 2
Suppose 240 - 50*f**3 - 542*f + 392*f - 5*f**4 + 380*f - 55*f**2 = 0. What is f?
-8, -3, -1, 2
Determine g so that -151*g**3 - 81*g + 42*g**2 - 140*g**3 + 290*g**3 + 40 = 0.
1, 40
Let 2304/5 + 1/5*l**3 - 19*l**2 + 2208/5*l = 0. What is l?
-1, 48
Let q be 252/10*(-70)/(-21). Suppose 0 = r - u - q, -2*u + 1 = -5. Determine y, given that -r*y**2 + 22*y - 4 + 10*y + 23*y**2 = 0.
1/4
Let i = 269 - 72. Let -600*c - i*c**2 + 48*c**3 - 583*c**2 - 3*c**5 + 51*c**4 - 174*c**3 + 0*c**5 = 0. What is c?
-2, -1, 0, 10
Let o(w) be the second derivative of -9*w**5/20 - 41*w**4/2 + 118*w**3 - 180*w**2 - 65*w + 1. Factor o(z).
-3*(z - 2)*(z + 30)*(3*z - 2)
Find z such that -12*z**2 - 10*z**2 - 14*z**2 - 207*z - 1302 - 12*z**2 + 45*z**2 = 0.
-62, -7
Let h = -512623 - -4613612/9. Find j, given that -1/3*j**3 - h*j**2 + 4/3 + 16/9*j = 0.
-3, -2/3, 2
Suppose 1014*h - 303 - 3753 = 0. Factor -h*q - 1/4*q**2 - 16.
-(q + 8)**2/4
Let x = -315 + 324. Let b be 12/x + -6*(-6)/(-27). Let 2/5*m**2 + b + 2/5*m = 0. Calculate m.
-1, 0
Let z be 4/(-42) - -6*(11561/693 - 16). Let g(w) be the second derivative of 27*w + 2 + 11/4*w**z + 0*w**2 + 3/5*w**5 - 3/2*w**3. Solve g(x) = 0.
-3, 0, 1/4
Factor -2*a**5 - 13*a**4 + 443382*a**3 - 443381*a**3 + 30*a**4 + a**5 - 17*a**2.
-a**2*(a - 17)*(a - 1)*(a + 1)
Find v such that 30772*v - 15371*v - 12353*v + 3*v**3 + 2028 + 1023*v**2 = 0.
-338, -2, -1
Suppose 75 = -5*a + 245. Find h, given that -2*h**3 + 4*h**2 - a*h + 48 + 141*h - 67*h + 0*h**2 = 0.
-2, 6
Let w(m) = -33 - 14*m**2 + 34*m - 7*m**2 + 20*m**2. Let r(f) = 2*f**2 - 84*f + 82. Let q(t) = 5*r(t) + 12*w(t). Factor q(k).
-2*(k - 1)*(k + 7)
Let v(g) be the second derivative of g**4/16 + 13*g**3/2 - 2*g - 663. Find k, given that v(k) = 0.
-52, 0
Let o = 437 + -421. Determine s, given that -3*s**4 - 24*s + 3*s**3 + 3*s**2 + 28*s**3 - o*s**3 + s**5 + 12 - 4*s**5 = 0.
-2, 1
Let p = 29877 + -29874. Factor 0 + 0*m + 11/4*m**p + m**2 + 7/4*m**4.
m**2*(m + 1)*(7