**2 - 1/21*p**4 - 1/30*p**5 + 0*p + 1/28*p**6. What is u in j(u) = 0?
-1/3, 0, 4/5
Suppose 2*w = -5*a - 1463, -14*w + 13*w - 4 = 0. Let j be 6*-1 - a*(-10)/(-240). Let -1/8*m**2 - j + 7/4*m = 0. Calculate m.
7
Let v be (352/40 - 2)*-50. Let o = v - -340. Let 1/2*h**2 + o*h + 1/2*h**5 - 1/2*h**4 + 0 - 1/2*h**3 = 0. What is h?
-1, 0, 1
Let u(g) be the first derivative of 304/9*g**3 + 32/5*g**5 + 89/3*g**4 + 40/3*g**2 + 39 - 2*g**6 + 0*g. Suppose u(q) = 0. Calculate q.
-1, -2/3, 0, 5
Let u(a) be the first derivative of -a**6/66 + 4*a**5/11 + 91*a**4/44 + 118*a**3/33 + 24*a**2/11 - 937. Solve u(p) = 0.
-2, -1, 0, 24
Let s = 86 - 66. Suppose -10*r = -4*o - 6*r + s, 19 = 5*o - 3*r. Determine g, given that g**4 + 0 + 1/2*g - 1/2*g**5 - g**o + 0*g**3 = 0.
-1, 0, 1
Let s(h) be the second derivative of 9*h - 1 + 0*h**3 - 3/160*h**5 + 9/8*h**4 + 0*h**2. Let s(z) = 0. What is z?
0, 36
Let l(c) be the third derivative of 0*c**3 + 0*c**5 + 4/455*c**7 + 140*c**2 + 5/2184*c**8 + 0 + 0*c**4 + 1/195*c**6 + 2*c. Find g, given that l(g) = 0.
-2, -2/5, 0
Suppose 2*w = -0*w. Suppose 0 = 4*h - 3*a - 3 - 13, 4*a = w. Find l such that 3*l**5 + 8*l**5 + 6*l**h + 3*l**3 - 8*l**5 = 0.
-1, 0
Let i(p) be the second derivative of -5*p**7/42 - 5*p**6/2 - 43*p**5/4 + 385*p**4/4 + 2450*p**3/3 - 2024*p. Determine y so that i(y) = 0.
-7, -5, 0, 4
Let d(o) be the first derivative of -23 + 0*o - 1/10*o**5 + 5/4*o**2 + 3/2*o**3 + 3/8*o**4. Factor d(v).
-v*(v - 5)*(v + 1)**2/2
What is n in 0 + 0*n - 1/6*n**5 + 19/3*n**3 + 0*n**2 + 17/6*n**4 = 0?
-2, 0, 19
Suppose 2*a + 22 = 5*a - s, a + 10 = -4*s. Suppose -a*t**2 + 3*t**3 - 18*t**2 - 48*t + 6*t**2 = 0. What is t?
-2, 0, 8
Solve -97/2*q**2 - 292*q - 6 = 0 for q.
-6, -2/97
Let u be ((-24)/64)/(-112 + 22). Let z(m) be the third derivative of u*m**6 + 6*m**2 - 1/4*m**3 + 3*m - 5/48*m**4 + 0 - 1/120*m**5. Factor z(j).
(j - 3)*(j + 1)**2/2
Let i(f) be the second derivative of f**6/10 + 213*f**5/10 + 1187*f**4 - 10439*f**3 + 47961*f**2/2 - 4485*f. Factor i(m).
3*(m - 3)*(m - 1)*(m + 73)**2
Let q be (-648)/288*1/((-3)/2). Let f be (-11)/((-2233)/14) - (-83)/58. Factor -f + q*a**2 + 0*a.
3*(a - 1)*(a + 1)/2
Suppose 35*b = 7*b + 700. Let m(k) = -k**2 + 85*k - 6. Let c(j) = -5*j**2 + 340*j - 25. Let t(h) = b*m(h) - 6*c(h). Find a, given that t(a) = 0.
-17, 0
Determine l, given that 15*l**2 - 82*l**3 - 86*l**3 + 166*l**3 + 7*l**2 = 0.
0, 11
Let z(x) be the third derivative of 2*x**3 + 19/96*x**4 + 213*x**2 + 1/240*x**5 + 0*x + 0. Find m, given that z(m) = 0.
-16, -3
Let b(w) be the second derivative of -3*w**5/10 + 11*w**4/3 + 268*w**3/3 + 168*w**2 - 19*w - 11. Find z such that b(z) = 0.
-6, -2/3, 14
Let b = -311 - -314. Let p be ((-9)/(-12))/(3/2). Factor -p*m**b + 0*m + 0*m**2 + 0.
-m**3/2
Let a(z) be the first derivative of 2*z**6/5 - 2*z**5/5 - 7*z**4/3 - 4*z**3/3 + 54*z - 68. Let m(w) be the first derivative of a(w). Let m(b) = 0. Calculate b.
-1, -1/3, 0, 2
Let v(z) be the first derivative of 5*z**6/12 + 29*z**5/5 + 121*z**4/8 + 16*z**3/3 - 9*z**2 - 1142. Solve v(x) = 0 for x.
-9, -2, -1, 0, 2/5
Let d be 1 - (40155/(-90) - (-15)/9). Let v = d - 445. Factor -v*y**2 - 2*y + 5/2.
-(y - 1)*(y + 5)/2
Let n = 2294 - 18343/8. Let w(h) be the first derivative of 32 + 9/4*h**2 + h**3 - n*h**4 - 3*h. Factor w(g).
-3*(g - 1)*(g + 1)*(3*g - 2)/2
Determine c, given that 980/3 - 3220/3*c + 575*c**2 + 25/3*c**4 + 490/3*c**3 = 0.
-14, -7, 2/5, 1
Let i = 22/71 - -502/213. Let d(j) be the third derivative of 0*j + 3/5*j**5 - 24*j**2 - 5/2*j**4 + i*j**3 + 0. Factor d(f).
4*(3*f - 4)*(3*f - 1)
Let w(i) be the third derivative of -1/6*i**4 + 52*i**2 + 0*i + 0 + 1/105*i**7 + 1/30*i**6 + i**3 - 2/15*i**5. Factor w(h).
2*(h - 1)**2*(h + 1)*(h + 3)
Let o be ((-7)/(42/(-138)))/((-1)/(-2)). Let w be (o/92*(0 - -1))/5. Suppose -3/10 + w*p**4 + 4/5*p + 0*p**3 - 3/5*p**2 = 0. Calculate p.
-3, 1
Suppose 2*v - 9*z = -5*z - 6, z = -v. Let m(h) = h**3 + h**2 + 1. Let o(k) = -7*k**3 - 10*k**2 + 60*k - 76. Let l(q) = v*o(q) - 4*m(q). Factor l(j).
3*(j - 2)**2*(j + 6)
Let d(q) = -149*q**2 - 18272*q + 5216656. Let l(w) = 109*w**2 + 13704*w - 3912492. Let o(y) = 11*d(y) + 15*l(y). Determine z, given that o(z) = 0.
571
Let o(a) be the third derivative of a**6/96 - 11*a**5/48 + 5*a**4/24 + 25*a**3/2 - 2008*a**2. Factor o(i).
5*(i - 10)*(i - 3)*(i + 2)/4
Factor -130/7*c**2 + 2/7*c**3 + 520/7 - 8/7*c.
2*(c - 65)*(c - 2)*(c + 2)/7
Let s(z) = -3*z**3 - 6*z - 16*z - 2 + 3*z**3 + z**3 + 13*z**2. Let p(d) = -2*d**3 - d**2 - d - 1. Let j(h) = -2*p(h) + s(h). Factor j(n).
5*n*(n - 1)*(n + 4)
Let l = 625877 + -1877626/3. Factor -l*i**2 - 50 - 155/3*i.
-5*(i + 1)*(i + 30)/3
Let s = 59 - 62. Let g be ((-105)/42)/(s - -2). Suppose -9/2*h + 7/2*h**4 - 1 + 9/2*h**3 - g*h**2 = 0. Calculate h.
-1, -2/7, 1
Let s be (-16)/(-384)*1812 - 38. Factor 9/2*y**2 - 27 + s*y.
3*(y + 9)*(3*y - 2)/2
Let v(a) be the second derivative of 0*a**3 - 1/16*a**4 + 3/80*a**5 + 0*a**2 + 10*a - 5. Factor v(h).
3*h**2*(h - 1)/4
Let o(y) be the first derivative of 2*y**3/3 + 15*y**2 + 112*y - 786. Find l, given that o(l) = 0.
-8, -7
Let k = 274 - 267. Suppose 17*o = 6*o - k*o. Factor 2/5*w - 4/5*w**4 + 4/5*w**2 + o*w**3 + 0 - 2/5*w**5.
-2*w*(w - 1)*(w + 1)**3/5
Let m(p) = p**2 + p + 7. Let s = 59 + -62. Let g be m(s). Solve g*i - 4*i**3 - 2*i**4 + 0*i**2 - 2*i + 2*i**2 - 7*i = 0.
-2, -1, 0, 1
Let a be (8 - 3 - -1)*16. Find h such that 121 + 572 - 2*h**2 + 4*h**2 + 459 + a*h = 0.
-24
Let o(c) = 21*c + 113. Let j be o(-5). Let w be (0/(-1))/(j - (-8 + 18)). Let -4/5*l + 2/5*l**2 + 2/5*l**3 + w = 0. What is l?
-2, 0, 1
Let s(a) = 5*a - 54. Let l be s(9). Let c be l/27 + (-3)/(-9). Factor -2/5*x**2 + 1/5*x**4 + 0*x + c + 1/5*x**3.
x**2*(x - 1)*(x + 2)/5
Let d = 5976 - 5973. Let l(q) be the second derivative of 0*q**2 - 3*q - 1/5*q**d + 0 + 1/20*q**4. Factor l(g).
3*g*(g - 2)/5
Suppose -1606 + 6816*w + 4*w**2 - 7036*w - 994 = 0. What is w?
-10, 65
Let c(f) be the first derivative of -f**4/18 - 56*f**3/3 + 253*f**2/9 + 2448. Factor c(j).
-2*j*(j - 1)*(j + 253)/9
Solve 230/7*j**3 - 46/7*j**4 - 136/7 - 466/7*j**2 + 416/7*j + 2/7*j**5 = 0 for j.
1, 2, 17
Let l be (3 - 490/168)/(-1 + 2). Let i(u) be the third derivative of 0*u - 1/30*u**5 + l*u**4 + 7*u**2 + 0 + 2*u**3. Solve i(r) = 0.
-2, 3
Let t be (-14924)/12915*12/(-26). Determine j, given that 2/15*j**2 + t + 8/15*j = 0.
-2
Let c(f) be the second derivative of f**6/75 + f**5/2 + 4*f**4/5 + f + 815. Suppose c(m) = 0. What is m?
-24, -1, 0
Let 65*a**4 + 83*a**3 + 32812*a**5 + 1250*a - 308*a**3 - 32817*a**5 - 125*a**2 = 0. What is a?
-2, 0, 5
Let m(s) be the first derivative of -27*s**5 - 30*s**4 + 520*s**3/3 + 240*s**2 + 80*s - 2515. Let m(y) = 0. Calculate y.
-2, -2/3, -2/9, 2
Let o be 18 + (-1804)/(-123) + -32. Find a such that -14/3 + 16/3*a**3 + 4*a**2 - 16/3*a + o*a**4 = 0.
-7, -1, 1
Let d(w) be the first derivative of 3*w**5/10 + 626. Factor d(s).
3*s**4/2
Let q be ((-18)/(-24) + -3)/((-3)/80). Factor -132*u - 931*u**2 - q - 910*u**2 - 128*u + 1886*u**2.
5*(u - 6)*(9*u + 2)
Suppose 1066*b + 453*b - 8865 = -1436*b. Suppose -129/4*g**2 - 3/4*g**b - 330*g + 363 = 0. What is g?
-22, 1
Let g(a) = -7*a + 124. Let w be g(14). Suppose -s = w - 30. Suppose -40/3*b**2 + 6*b**s + 0 - 16/3*b - 4*b**3 = 0. Calculate b.
-2/3, 0, 2
Solve -98/3*b - 120 - 2/3*b**2 = 0 for b.
-45, -4
Suppose 0 = -u + 5*z + 32, z + 6 = 4*u - 8. Let f = 59/114 + -1/57. Factor f + 1/8*y**u + 5/8*y.
(y + 1)*(y + 4)/8
Let s(y) be the first derivative of y**8/336 + y**7/56 - y**5/6 - 3*y**3 - 76. Let z(b) be the third derivative of s(b). Solve z(i) = 0 for i.
-2, 0, 1
Let t be -40*((-11739)/585 - -20). Suppose t*k**2 - 8/3 - 2/3*k + 2/3*k**3 = 0. Calculate k.
-4, -1, 1
Let v(m) be the second derivative of -m**4/4 + 231*m**3/2 + 699*m**2 + 170*m - 7. Factor v(j).
-3*(j - 233)*(j + 2)
Let p(f) be the second derivative of -16*f**4 + 43*f + 0*f**2 + 512*f**3 + 3/20*f**5 + 0. Solve p(z) = 0 for z.
0, 32
Suppose -4*i + 434 = 3*y, 43 = i - 4*y - 56. Let x = 122 - i. Determine s, given that -5*s**2 + 5*s**4 - 10*s + x*s**3 - 5*s**5 - 439 + 439 = 0.
-1, 0, 1, 2
Let w(g) = 2*g**2 + g - 1. Let d(k) = -k**4 - 2*k**3 - 9*k**2 - k + 7. Let p(l) = 3*d(l) + 21*w(l). Determine f so that p(f) = 0.
-3, -1, 0, 2
Factor -51483*