3, -2, 0
Suppose 13*q + 5544 = 27*q. Let a = -1972/5 + q. Determine h, given that a - 12/5*h + 4/5*h**2 = 0.
1, 2
Determine u, given that 0 + 124/3*u - 2/3*u**2 = 0.
0, 62
Suppose -s + 65 = 62. Suppose 0*p - 42 = -s*p - 4*r, 4*p - 56 = 5*r. What is a in p*a**4 - a**5 - 12*a**4 + a**3 + 3*a**2 - 5*a**2 = 0?
-1, 0, 1, 2
Let k(w) be the third derivative of 0*w**4 + 0*w - 1/36*w**5 + 169*w**2 + 1/630*w**7 + 0*w**3 + 0 - 1/90*w**6. What is g in k(g) = 0?
-1, 0, 5
Let x(l) be the third derivative of -11*l**8/112 - 39*l**7/70 + 13*l**6/20 + 39*l**5/5 + 9*l**4 + 2*l**2 + 6101. Let x(z) = 0. Calculate z.
-3, -2, -6/11, 0, 2
Suppose -140*j - 161*j + 606 = -99*j. Determine d, given that -4/7*d**4 + 0 + 2/7*d**5 + 4/7*d**2 - 2/7*d**j + 0*d = 0.
-1, 0, 1, 2
Let -80/7*z + 36/7*z**2 + 48/7 - 4/7*z**3 = 0. Calculate z.
1, 2, 6
Factor 1/3*g**2 + 215/3*g - 72.
(g - 1)*(g + 216)/3
Suppose -a - 4 = -3*m + 9, -10 = 2*m + 4*a. Factor -4*b**m - 59*b + 282*b**2 - 133*b - 144 - 334*b**2.
-4*(b + 1)*(b + 6)**2
Let k = 93700 - 93698. Solve -2/3*d**4 + 2*d**3 + 4/3 - 2*d - 2/3*d**k = 0.
-1, 1, 2
Let v(j) be the first derivative of j**3/9 + 19*j**2/6 - 290*j/3 - 3183. Determine h so that v(h) = 0.
-29, 10
Suppose -259*s + 448*s = 4725. Let n(o) be the second derivative of 0*o**2 - 3/10*o**5 - 1/2*o**4 - 1/15*o**6 + s*o + 0 - 1/3*o**3. Let n(i) = 0. Calculate i.
-1, 0
Factor -20*h**2 - 77/2*h - 1/2*h**3 - 19.
-(h + 1)**2*(h + 38)/2
Factor 2/5*k**4 + 0 + 122/5*k**3 - 258/5*k**2 - 378/5*k.
2*k*(k - 3)*(k + 1)*(k + 63)/5
Let j = 2451 + -1161. Let h = j + -1290. Suppose h*w**2 + 0*w + 225/2*w**5 + 0 - 30*w**4 + 2*w**3 = 0. What is w?
0, 2/15
Let s(j) = -124*j**3 - 10*j - 9. Let o be s(-1). Suppose -10*c + 145 = o. Let 1/3*b**c + b**3 - b - 1/3*b**4 + 0 = 0. What is b?
-1, 0, 1, 3
Let r = 96 + 241. Determine u so that -92*u**5 + 90*u**3 - 211*u**2 - 9*u**2 + r*u**5 + 595*u**4 + 40*u = 0.
-2, -1, 0, 2/7
Let g(u) be the first derivative of u**4/12 + 13*u**3 + 58*u**2/3 - 8424. Let g(q) = 0. Calculate q.
-116, -1, 0
Suppose -42 + 136/15*r - 2/15*r**2 = 0. Calculate r.
5, 63
Suppose 3*z = -z + 16. Suppose z*i - 30 = 258. Factor 182*s**2 + 16*s - 184*s**2 + 8*s - i.
-2*(s - 6)**2
Let r(z) = z**2 + 19*z + 92. Let w be r(-9). Solve t**2 - 10*t**4 + 4*t**4 - 5*t + 3*t**2 + 29*t**3 + w*t**2 = 0.
-1/2, 0, 1/3, 5
Suppose -350 = -252771*a + 252764*a. Factor -70*t + a - 15/2*t**2.
-5*(t + 10)*(3*t - 2)/2
Let s(i) = i**4 + i**3 - 1. Suppose 6 - 53 = -47*y. Let h(t) = -4*t**3 + 14*t**2 - 1. Let p(r) = y*h(r) - s(r). Find x, given that p(x) = 0.
-7, 0, 2
Suppose 2*n = 21 - 15. What is x in -11 + 23 - 2*x - 8*x**2 - 4 + 0*x**3 + 2*x**n = 0?
-1, 1, 4
Let z(s) be the third derivative of 2*s**5/105 - 205*s**4/84 + 17*s**3/7 + 2*s**2 - 207*s. Solve z(y) = 0 for y.
1/4, 51
Let s be (17 - -1)*(-64)/(-768). Factor 0*o**2 + 0*o + s*o**4 + 0 + 0*o**3.
3*o**4/2
Find a, given that 1/6*a**2 + 1172/3 + 587/3*a = 0.
-1172, -2
Let s be 4 + (-11 - -8)*4/(-3). Solve 3*j**3 + s*j - 15*j**3 + 2*j**3 + 4*j**4 + 2*j**3 - 4 = 0.
-1, 1
Let n(r) be the third derivative of -1/100*r**6 - 1/150*r**5 + 1/525*r**7 + 48*r**2 + 0*r**3 + 0 + 0*r + 1/20*r**4. Suppose n(x) = 0. Calculate x.
-1, 0, 1, 3
Suppose 3*v + 2*q - 21 = 0, -2*q - 2 = -3*v - 5. Let d(s) be the first derivative of 1/30*s**v + 3/20*s**2 + 17 + 0*s. Suppose d(t) = 0. What is t?
-3, 0
Let m be (-2)/55 - (-63872)/14080. Suppose 1/2*z**3 - m + 5/2*z**2 + 3/2*z = 0. Calculate z.
-3, 1
Let q(t) be the third derivative of -5*t**8/336 - 5*t**7/14 + t**6 + 74*t**5/3 - 190*t**4 + 600*t**3 - 106*t**2 - 50. Suppose q(j) = 0. What is j?
-15, -6, 2
Let m(o) = 2*o - 32. Let a(s) = -3*s + 48. Let z(g) = 5*a(g) + 7*m(g). Let q be z(11). Factor 20*r - q*r**2 + 27 - 6 + 7 - 3.
-5*(r - 5)*(r + 1)
Let a be 8/22 - 85140/294030. Let b(k) be the first derivative of 23 + 0*k - 1/9*k**2 + a*k**3 + 1/9*k**4. What is w in b(w) = 0?
-1, 0, 1/2
Let f(g) = -g**4 - 3*g**3 - 2*g**2 - g - 1. Let x(w) = -5*w**4 - 41*w**3 + 120*w**2 - 136*w - 4. Let n(b) = -20*f(b) + 5*x(b). Factor n(j).
-5*j*(j - 2)**2*(j + 33)
Let z(q) = 2*q**2 + q. Let h(k) = 9*k**2 + 99*k - 315. Let a(v) = -h(v) + 3*z(v). Factor a(o).
-3*(o - 3)*(o + 35)
Let b(a) = 11*a**2 - 29*a + 19. Let g(u) = 6*u**2 - 15*u + 9. Let c = 18 - 19. Let j be -4 + (0 + c)/(-1). Let i(m) = j*b(m) + 5*g(m). Factor i(v).
-3*(v - 2)**2
Determine x, given that -45*x**2 + 5*x**4 + 214*x + 122*x**3 - 110*x**2 - 230*x + 18*x**3 - 274*x = 0.
-29, -1, 0, 2
Let i be (74/8)/((-2)/8)*2/(-8). Determine u so that 30*u + 3/4*u**3 + 9 + i*u**2 = 0.
-6, -1/3
Suppose 25*t = 19*t + 18*t. Let h(p) be the third derivative of -1/36*p**4 + t*p - 12*p**2 + 0 + 1/27*p**3 - 2/135*p**5. Determine a, given that h(a) = 0.
-1, 1/4
Let f be 25 + (-21 + 33 - 35). Solve 2/11*v**4 + 86/11*v**3 + 246/11*v**f + 22*v + 80/11 = 0.
-40, -1
Factor -92/13*y**2 - 3528/13 + 1218/13*y + 2/13*y**3.
2*(y - 21)**2*(y - 4)/13
Solve 144*h**3 - 64*h**2 + 81*h**4 - 101*h**4 + 738 - 162 - 512*h - 4*h**5 = 0 for h.
-9, -2, 2
Let d be 45/(-9) - (-8 + -1). What is u in 0*u**d - u**2 + 1/2*u**5 + 0 - 3/2*u**3 + 0*u = 0?
-1, 0, 2
Let r(l) be the second derivative of -l**6/3240 + 11*l**5/1080 - l**4/12 - 77*l**3/3 + 52*l. Let t(q) be the second derivative of r(q). Factor t(k).
-(k - 9)*(k - 2)/9
Let s(n) be the first derivative of -37/9*n**3 - 245 + 5/12*n**4 - 13/3*n**2 + 16/3*n. Determine q, given that s(q) = 0.
-1, 2/5, 8
Factor 0 + 30/7*n - 3/7*n**4 + 36/7*n**3 - 9*n**2.
-3*n*(n - 10)*(n - 1)**2/7
Let k(p) be the third derivative of 0*p - 23/420*p**6 - 2/735*p**7 - 85/84*p**4 + 288*p**2 + 0 - 27/70*p**5 - 25/21*p**3. What is x in k(x) = 0?
-5, -1, -1/2
Let u(m) be the first derivative of m**5 - 5*m**4/2 - 20*m**3/3 + 20*m**2 + 1516. Factor u(t).
5*t*(t - 2)**2*(t + 2)
Let d be ((-6)/50)/(9/(-225)*15). Let v(x) be the second derivative of 0*x**4 + x**2 - 1/15*x**6 - 2/3*x**3 - 13*x + d*x**5 + 0. Find t such that v(t) = 0.
-1, 1
Let y(w) = 6*w**4 - w**3 + 2*w + 2. Suppose 0 = 22*n - 11*n - 44. Let o(m) = -5*m + 2*m - 57 + 28 + 26 - 6*m**n. Let z(j) = 2*o(j) + 3*y(j). Factor z(d).
3*d**3*(2*d - 1)
Let r(p) be the second derivative of -7*p**7/2 - 1043*p**6/5 - 7323*p**5/4 - 5586*p**4 - 4986*p**3 - 1944*p**2 - 2432*p. Let r(t) = 0. What is t?
-36, -3, -2/7
Solve -172*o + 207*o**2 + 197*o**3 - 75 + 3*o**4 - 135 - 121*o**3 - 41*o + 137*o**3 = 0.
-70, -1, 1
Let a(h) = h**3 - 22*h**2 + 2*h - 40. Let y be a(22). Factor 28*m**3 - 19291 - 4*m**5 + 24*m**y + 19291.
-4*m**3*(m - 7)*(m + 1)
Let u be 8 - 1 - (-13 + 18). Solve -40*m + 18*m**2 + 4 + 22 - u - 2*m**3 + 0 = 0 for m.
1, 2, 6
Let p(g) be the first derivative of 4*g**2 - 22/3*g**3 + 0*g - 5*g**4 + 24 - 7/10*g**5. Factor p(k).
-k*(k + 2)*(k + 4)*(7*k - 2)/2
Suppose 3*r = -5*p - r - 16, r = -2*p - 4. Let w be (-1)/((-7 + 6)/3). Factor 0*t - 1 - 3*t - t**w + p - 3*t**2.
-(t + 1)**3
Let d(l) be the first derivative of 0*l**2 + l**3 + 1/15*l**5 + 0*l - 213 - 1/2*l**4. Factor d(m).
m**2*(m - 3)**2/3
Let j(f) = 5*f**3 - 7*f**2 + 10*f + 10. Let c(s) = 61*s**3 + 19*s - 10*s**2 + 19 + 57*s**3 - 3*s**2 - 109*s**3. Let t(w) = -6*c(w) + 11*j(w). Factor t(k).
(k - 2)*(k + 1)*(k + 2)
Let f(v) be the second derivative of 17*v**7/42 - 14*v**6/5 + 23*v**5/10 + 22*v**4/3 - 21*v**3/2 - 2*v**2 + 3272*v - 1. Determine h so that f(h) = 0.
-1, -1/17, 1, 4
Let -86/3*b**2 - 1/3*b**3 + 4232 - 1564/3*b = 0. What is b?
-46, 6
Find v, given that -318*v**2 - 642*v - 117*v**3 + 58*v**3 + 61*v**3 - 322 = 0.
-1, 161
Let p(k) be the second derivative of -k**7/28 - 7*k**6/20 + 27*k**5/40 + 115*k**4/8 + 25*k**3 - 347*k - 3. Find g such that p(g) = 0.
-5, -1, 0, 4
Solve -7/4*h**4 + 177/4*h**3 + 0 + 23*h - 93*h**2 = 0 for h.
0, 2/7, 2, 23
Factor 2/3*i**5 + 10/3*i**4 + 0*i + 0 + 4*i**3 + 0*i**2.
2*i**3*(i + 2)*(i + 3)/3
Factor -132*u + 2/3*u**2 + 6534.
2*(u - 99)**2/3
Let v(x) be the second derivative of x**4/4 - 103*x**3 + 31827*x**2/2 - 12*x + 29. What is a in v(a) = 0?
103
Let j(t) be the second derivative of -t**5/20 + 5*t**4/6 - 17*t**3/6 + 5*t**2 - 185*t. Let z be j(8). Factor -64/3*s**3 + 8/3 + 20*s + 32*s**z.
-4*(s - 2)*(4*s + 1)**2/3
Let q(t) be the second derivative of -74*t + 0 - 1/150*t**6 + 0*t**2 - 288/5*t**3 - 9/25*t**5 - 36/5*t**4. Factor q(r).
-r*(r + 12)**3/5
Let h(m)