1, 0
Suppose 0 = -84*i + 1468 - 1300. Suppose 18*w + 54 + 3/2*w**i = 0. Calculate w.
-6
Determine w so that -848/5*w**2 - 98/5*w**5 - 96/5 + 644/5*w**4 - 834/5*w**3 + 632/5*w = 0.
-1, 2/7, 3, 4
Let b(o) be the first derivative of 0*o + 0*o**3 + 0*o**2 - 69 + 1/9*o**6 - 2/5*o**5 + 1/3*o**4. Factor b(i).
2*i**3*(i - 2)*(i - 1)/3
Let f(m) = m**2 - 7663*m - 53688. Let q be f(-7). Factor 0 - 8/7*o**3 + 8/7*o - 4/7*o**q + 4/7*o**4.
4*o*(o - 2)*(o - 1)*(o + 1)/7
Let a(c) be the third derivative of -c**8/1008 - c**7/126 + 77*c**6/360 + 169*c**5/180 - 230*c**4/9 + 800*c**3/9 - 1858*c**2. Find z such that a(z) = 0.
-8, 1, 5
Let j(d) be the first derivative of 1/20*d**5 - 1/4*d**2 + 3/16*d**4 + 0*d - 1/12*d**3 - 1/24*d**6 + 42. Determine o, given that j(o) = 0.
-1, 0, 1, 2
Let t(a) be the first derivative of 9/10*a**2 + 0*a - 23 + 1/5*a**3. What is c in t(c) = 0?
-3, 0
Let f be 591/39 - 195/((-26)/(-2)). Factor -2/13*m**4 + 0*m + 2/13*m**2 + 2/13*m**3 + 0 - f*m**5.
-2*m**2*(m - 1)*(m + 1)**2/13
Let n(y) be the first derivative of 24*y + 21 + 1/4*y**6 + 0*y**5 - 39/8*y**4 - 8*y**3 + 9*y**2. Suppose n(b) = 0. What is b?
-2, -1, 1, 4
Determine r so that -100*r - 21*r**2 + 3*r**4 - 6*r**3 + 95 - 8*r + 24*r**3 + 13 = 0.
-6, -3, 1, 2
Let c(w) = -20*w - 374. Let z be c(-19). Let o be -2 - (48/(-24))/(4/z). Solve 2*y**2 + 7/2*y - o = 0 for y.
-2, 1/4
Let j = -122 - -126. Find f such that 11*f**4 + 16*f**5 - 4*f**5 - 174*f**3 + 162*f + 2 - 18 - 17 - 84*f**2 + 106*f**j = 0.
-11, -1, 1/4, 1
Let z(p) be the first derivative of p**4/12 - 29*p**3/6 + 14*p**2 - 147*p - 24. Let x(a) be the first derivative of z(a). Factor x(g).
(g - 28)*(g - 1)
Suppose 4*d + 9 = -3, -4*a = d - 365. Determine o, given that -37*o - 19*o - 30*o**2 - 3*o**3 - 13*o - 134 + a = 0.
-7, -2, -1
Let x(q) be the second derivative of -q**6/30 - 27*q**5/20 - 97*q**4/12 - 39*q**3/2 - 23*q**2 + 5*q - 208. Let x(u) = 0. Calculate u.
-23, -2, -1
Let n(q) = 9*q**2 + 6*q - 1. Suppose 22*b = 42*b - 140. Let c(x) = 8*x**2 + 6*x - 2. Let v(t) = b*c(t) - 6*n(t). Determine j so that v(j) = 0.
-4, 1
Let f = -39 + 86. Let t = -44 + f. Factor -z**3 + 8*z + 5*z**t + 28*z**2 - 16*z**2.
4*z*(z + 1)*(z + 2)
Let h(q) = -31*q**2 + 25778*q + 7355. Let r(d) = d**2 + 10*d + 7. Let z(x) = -h(x) - 3*r(x). Let z(l) = 0. What is l?
-2/7, 922
Let r(g) be the first derivative of g**4/18 - 1222*g**3/27 + 610*g**2/9 - 1128. Let r(a) = 0. Calculate a.
0, 1, 610
Let k be -66 + 63 - 1/(2/(-12)). Let f be (2/3 + 1/6)*k. Find o, given that -f*o + 5/4*o**2 + 5/4 = 0.
1
Determine y so that -2/5*y**4 - 28/5*y**2 + 2/5*y**5 - 36/5*y**3 + 34/5*y + 6 = 0.
-3, -1, 1, 5
Let g = -3360/13 - -30292/117. Let s(p) be the first derivative of 2/15*p**5 + g*p**3 + 2/3*p**4 - 4/3*p**2 - 2*p + 5. Factor s(c).
2*(c - 1)*(c + 1)**2*(c + 3)/3
Let x(d) = d**2 - 3*d - 6. Let a be x(5). Determine q, given that 27*q**5 + 60*q**2 + 4*q + 5*q + 15*q - 11*q**5 - 188*q**3 + 84*q**4 + a*q = 0.
-7, -1/4, 0, 1
Let u(p) be the second derivative of -p**6/60 - 689*p**5/40 + 691*p**4/8 - 2075*p**3/12 + 173*p**2 - 3379*p. Factor u(j).
-(j - 1)**3*(j + 692)/2
Let x(j) be the second derivative of -j**5/100 + 73*j**4/60 - 1533*j. Solve x(t) = 0 for t.
0, 73
Suppose -5*k = 5*u - 265, -7*k + 207 = 4*u - 4*k. Suppose 0 = 2*b - 86. Find h such that b - u*h + 24*h**2 - 7*h**2 - 2*h**3 + h**2 - 11 = 0.
1, 4
Let u(p) be the first derivative of p**8/9240 + p**7/420 + 31*p**6/1980 + 7*p**5/220 + 49*p**3/3 - 7. Let k(f) be the third derivative of u(f). Factor k(c).
2*c*(c + 1)*(c + 3)*(c + 7)/11
Let p(d) be the third derivative of d**6/480 - 33*d**5/80 - 355*d**4/32 - 2725*d**3/24 - d**2 + 23*d - 24. Factor p(j).
(j - 109)*(j + 5)**2/4
Let f be 120/18*495/1100. Factor 380/21*c**4 + 216/7*c + 50/21*c**5 + 456/7*c**2 + 1082/21*c**f + 0.
2*c*(c + 2)**2*(5*c + 9)**2/21
Let g(b) be the third derivative of -b**6/80 - b**5/20 + 11*b**4/16 + 3*b**3 - 2313*b**2. Determine w so that g(w) = 0.
-4, -1, 3
Let j be 2/(-8) + 115/60. Suppose 3*x + 204 = 35*x + 70*x. Let -4/3*t**3 - 1/3*t**x - j*t**4 - 2/3*t**5 + 0 + 0*t = 0. Calculate t.
-1, -1/2, 0
Suppose 6*c = 8139 - 8067. Let n = 22 - 12. Suppose -30*x**4 - 8*x**3 + n*x**4 + 16*x**4 + c*x**2 = 0. What is x?
-3, 0, 1
Let x = 58713 + -58710. Find h, given that 1/5*h + 0 + 1/5*h**x - 2/5*h**2 = 0.
0, 1
Let c(k) = -2*k**2 - 16*k - 37. Let n(a) be the first derivative of -36*a + 9 - 2/3*a**3 - 8*a**2. Let d(x) = -4*c(x) + 5*n(x). Let d(i) = 0. Calculate i.
-4
Let x(p) = 1083*p + 30324. Let t be x(-28). Solve 0*f + t + 1/8*f**3 - 1/8*f**4 + 1/4*f**2 = 0.
-1, 0, 2
Factor 108 + 48/5*r**2 - 342/5*r + 2/5*r**3.
2*(r - 3)**2*(r + 30)/5
Let a(f) be the first derivative of f**5/60 + 3*f**4/4 + 23*f + 86. Let h(p) be the first derivative of a(p). Suppose h(k) = 0. What is k?
-27, 0
Let q(h) be the first derivative of h**5/5 + 15*h**4/2 + 99*h**3 + 484*h**2 + 1265. Determine y so that q(y) = 0.
-11, -8, 0
Factor 389*i**4 - 2400*i + 4736 - 387*i**4 - 152*i**2 - 282*i**3 - 1147*i**2 - 757*i**2.
2*(i - 148)*(i - 1)*(i + 4)**2
Let b(t) be the third derivative of t + 0 + 95/24*t**4 + 17/6*t**5 + 3/8*t**6 + 13*t**2 - 5*t**3. Determine q so that b(q) = 0.
-3, -1, 2/9
Let g = 95121 - 95118. Factor 0 + 210*p**2 - 305/2*p**g + 35*p**4 - 90*p - 5/2*p**5.
-5*p*(p - 6)**2*(p - 1)**2/2
Let a(u) = -u**4 + u**3 - 4*u**2 + u + 2. Let l(c) = -5*c**4 + 8*c**3 + 11*c**2 - 30*c - 48. Let w(r) = 20*a(r) - 5*l(r). Let w(p) = 0. Calculate p.
-4, -1, 2, 7
Let q be (-6 - (-16226)/(-63)) + 5. Let k = q + 259. Suppose 0 - k*a**2 - 4/3*a = 0. Calculate a.
-3, 0
Let f be (-2024)/(-644) + 36/(-56)*(-4)/3. Factor 1/2*c**3 + 0 - 1/2*c**f - 1/2*c + 1/2*c**2.
-c*(c - 1)**2*(c + 1)/2
Suppose 259*f + 102*f = 13357. Factor 1369/2 + f*b + 1/2*b**2.
(b + 37)**2/2
Let l(a) = -a**2 - 123*a + 28. Let u(q) = -42*q + 8. Let w(m) = 4*l(m) - 14*u(m). Factor w(y).
-4*y*(y - 24)
Let x = -32 - -27. Let u be (((-15)/9)/x)/((-1)/(-4062)). Determine p so that u*p - 1362*p - 8 + p**2 + p**2 + 2*p**3 = 0.
-2, -1, 2
Suppose 98*w - 1970 = -887*w. Suppose 0*o - 32/3*o**w + 0 - 4/3*o**3 + 4/3*o**5 + 32/3*o**4 = 0. What is o?
-8, -1, 0, 1
Let n(r) be the first derivative of -72*r**2 + 47 - 60*r + 9/4*r**4 - 25*r**3. Factor n(j).
3*(j - 10)*(j + 1)*(3*j + 2)
Suppose -76*j**4 + 510*j**3 - 807 + 4*j**5 - 921 + 52*j**3 + 2880*j - 1824*j**2 - 18*j**3 = 0. What is j?
2, 3, 6
Let t = 153 - 152. Let n be (3/(-9))/(t*80/(-24)). Factor -1/10*o**2 - n*o + 0.
-o*(o + 1)/10
Let w = -8420 - -8426. Let t(a) = -a**2 - 4*a + 2. Let s be t(-4). What is f in -2*f + s*f**2 + w + 8*f - 4*f**2 + 2 = 0?
-1, 4
Let f(v) = 9*v**2 - 32*v - 24. Let u(q) be the second derivative of 27*q + 2/3*q**3 + 3/2*q**2 - 1/12*q**4 + 0. Let s(a) = -6*f(a) - 51*u(a). Factor s(c).
-3*(c + 1)*(c + 3)
Let x(k) be the third derivative of k**8/6720 + k**7/252 + 3*k**6/80 + 3*k**5/20 - 7*k**4 - 78*k**2. Let q(p) be the second derivative of x(p). Factor q(b).
(b + 1)*(b + 3)*(b + 6)
Let c(z) be the third derivative of z**5/390 - 137*z**4/39 - 183*z**3/13 - 947*z**2 + 1. Factor c(i).
2*(i - 549)*(i + 1)/13
Let x(p) be the third derivative of 96*p**2 - 45/2*p**4 + 540*p**5 - 5400*p**6 + 0 + 0*p + 1/2*p**3. Factor x(k).
-3*(60*k - 1)**3
Factor -1050/11 - 2/11*d**3 + 370/11*d - 2*d**2.
-2*(d - 5)**2*(d + 21)/11
Let p(t) = 36*t**2 + t - 1. Let m be p(1). Suppose 4 = -2*c + 2*o, 3 = -c - 2*o + 13. Factor 13 - 14*l + m + c*l**2 - l**2 + 0*l**2.
(l - 7)**2
Solve 3/2*f**3 + 903/2*f**2 + 1797/2*f + 897/2 = 0.
-299, -1
Let p be (-5 - -1)*(-3)/(-144)*-20. Factor 980/3 + 140/3*l + p*l**2.
5*(l + 14)**2/3
Let f(s) = -15*s**2 + 105*s - 105. Let z = -754 + 756. Let u(m) = -7*m**2 + 53*m - 52. Let v(a) = z*f(a) - 5*u(a). Factor v(d).
5*(d - 10)*(d - 1)
Let n(j) = 120*j**3 - 9*j**2 - 3. Let z be n(4). Find b, given that -1863*b**2 - 3*b**4 - 7689*b**3 + 4182*b + 192*b + z*b**3 = 0.
-27, 0, 2
Suppose 4*v - 20 = 5*x, 9*v - 4*v + x + 4 = 0. Suppose v*b + 16 = 4*b. Determine m, given that 3*m**3 + 0*m**4 - m**4 + 16*m**b - 6*m + 3*m**3 - 15*m**2 = 0.
-1, -2/5, 0, 1
Let a be (-1 - -3 - 0)*(38 + -37). Suppose 8/3*f**4 + 2/3*f**3 - 40/3*f - 28/3*f**a + 2/3*f**5 - 16/3 = 0. Calculate f.
-2, -1, 2
Suppose -5*k - 44 + 16 = -2*h, 20 = h - 4*k. Let i(s) = 358 + 171 - 139 + 41*s + 15*s. Let c