i(d) be the second derivative of -d - 4/3*d**4 + 0*d**2 + 0*d**3 + 1/10*d**5 + 24. Factor i(z).
2*z**2*(z - 8)
Suppose 163 - 67 = 12*r. Let u(m) = 2*m**3 - 15*m**2 - 5*m - 20. Let k be u(r). Factor 7/3*v**3 - 8/3 + 20/3*v - 6*v**2 - 1/3*v**k.
-(v - 2)**3*(v - 1)/3
Let f(w) be the third derivative of -9/80*w**5 - 7/8*w**3 + 0 - 15/32*w**4 + 3*w - 1/160*w**6 + 6*w**2. Determine l so that f(l) = 0.
-7, -1
Let u(t) = -3 - 37*t**2 + 46*t**2 + 9*t**3 + 1 - 1 + 3*t**4 + 3*t. Let r(w) = -3*w**4 - 9*w**3 - 9*w**2 - 3*w + 4. Let g(d) = -3*r(d) - 4*u(d). Solve g(c) = 0.
-1, 0
Let f = -147 + 151. Solve 3*o**2 - 5*o**2 + 2 - 204*o**4 - 19*o**2 - f - 25*o - 44*o + 436*o**3 = 0.
-1/3, -1/34, 1/2, 2
Let h(x) be the second derivative of 0*x**3 - 10 + 1/21*x**7 + 0*x**2 - 1/5*x**6 - 2*x + 3/10*x**5 - 1/6*x**4. Solve h(v) = 0 for v.
0, 1
Let q(v) be the third derivative of v**6/1800 + 7*v**5/300 + 49*v**4/120 + 19*v**3/3 - 68*v**2. Let c(g) be the first derivative of q(g). What is u in c(u) = 0?
-7
Find x such that 2/3*x - 8/3*x**2 - 2/3*x**3 + 8/3 = 0.
-4, -1, 1
Factor 93*j - j**4 + 117*j + 43 + 39*j**3 - 179 + 66*j - 178*j**2 + 0*j**4.
-(j - 34)*(j - 2)**2*(j - 1)
Factor -84*g**2 - 120*g - 21/2*g**3 + 3/4*g**4 + 0.
3*g*(g - 20)*(g + 2)*(g + 4)/4
Let o(r) be the first derivative of r**4/2 + 152*r**3 + 453*r**2 + 452*r + 2293. Let o(m) = 0. What is m?
-226, -1
Suppose 392*x - 222 = 389*x. Factor -d**4 - 19*d**2 + x*d**2 + d**3 - 53*d**2.
-d**2*(d - 2)*(d + 1)
Let k = 130 + -132. Let g = 2 - k. Determine i so that 2/3*i**g + 2/3*i + 4/3 - 2*i**2 - 2/3*i**3 = 0.
-1, 1, 2
Let q(h) = h**2 - 3. Let v(s) = 8*s**2 + 7036*s + 6188144. Let g(o) = -6*q(o) + v(o). Suppose g(j) = 0. Calculate j.
-1759
Suppose 0*d - 3*d = -4*x + 35164, -3*x - d + 26360 = 0. Factor 33*k**3 + 2028*k - 156*k**2 - x + 35*k**3 + 37*k**3 - 101*k**3.
4*(k - 13)**3
Let g(c) be the third derivative of c**5/390 + 773*c**4/156 - 258*c**3/13 - 5*c**2 + 793. Factor g(y).
2*(y - 1)*(y + 774)/13
Factor -36750*r**4 - 4 + 133*r + 145*r**2 + 36749*r**4 + 4 + 11*r**3.
-r*(r - 19)*(r + 1)*(r + 7)
Suppose 0 = 176*d - 170*d - 12. Factor -625*s - s**3 - 186*s**d + 484*s**2 - 248*s**2.
-s*(s - 25)**2
Let x be ((-8)/6 - -1) + 2057/51. Let t be (-138)/x + 36/(-45) + 5. Find a such that -t*a**2 - 3/4*a + 0 = 0.
-1, 0
Let 291/7*k**2 - 80/7 - 67/7*k**3 + 3/7*k**5 - 11/7*k**4 - 136/7*k = 0. What is k?
-5, -1/3, 1, 4
Let o(u) = -3*u**3 - 2*u**2 + 2*u. Let n be o(-2). Let x be (2 + 6)*6/n. Factor x - 5*b**2 - 2*b**2 + 4*b**5 + 4*b + 7*b**3 - 15*b**3 - b**2 + 4*b**4.
4*(b - 1)**2*(b + 1)**3
Suppose -1/2*f**4 + 0*f**2 + f + 1/2 - f**3 = 0. Calculate f.
-1, 1
Let q = -25 + 28. Let t be (q + -6 + 4)/(1/3). Factor -t*b + 12*b**2 - 7*b - 2*b**3 - b**3 + b**3.
-2*b*(b - 5)*(b - 1)
What is k in -195/2 + 9/2*k**2 + 877*k = 0?
-195, 1/9
Let z = -4541438/3 - -1513820. Factor -z*f**3 + 6*f**2 + 2/3*f**4 + 196/3 + 238/3*f.
2*(f - 7)**2*(f + 1)*(f + 2)/3
Let t(n) be the second derivative of -2/21*n**3 + n - 1/42*n**4 + 3/7*n**2 + 20. Suppose t(d) = 0. Calculate d.
-3, 1
Determine h, given that -2/11*h**3 + 56/11*h**2 - 56/11 + 2/11*h = 0.
-1, 1, 28
Let u(t) be the first derivative of -25*t**6/16 - 39*t**5/2 - 1389*t**4/16 - 155*t**3 - 1179*t**2/16 - 27*t/2 + 153. Let u(p) = 0. What is p?
-4, -3, -1/5
Let f = 11767/15 - 784. Let g = f - 13/60. Factor 0*q**2 + 0 - 1/4*q**5 + 0*q**3 + 0*q + g*q**4.
-q**4*(q - 1)/4
Let b(r) = r**3 + 3*r**2 + 3*r + 4. Let c be b(-4). Let n be (12/(-16))/(3/c). Factor -3*i**2 - 2*i**5 + n*i**3 + 4*i - 7*i**2 + 7*i**4 + 0*i**5 - 5*i**4.
-2*i*(i - 1)**3*(i + 2)
Let r(z) = -z**2 + 20*z + 709. Let n be r(-18). Let b(y) be the first derivative of 3*y**3 + 1/4*y**4 - n*y - 30 + 15/2*y**2. Suppose b(l) = 0. Calculate l.
-5, 1
Let -46/7*q + 100/7 - 2/7*q**2 = 0. Calculate q.
-25, 2
Let m = 594 + -287. Let c = 310 - m. Suppose 1/3*t**5 - 2/3*t**c - 1/3*t**4 + 1/3*t + 2/3*t**2 - 1/3 = 0. Calculate t.
-1, 1
Let d(u) = 7*u**5 - 10*u**3 + 7*u. Let r(c) be the second derivative of -5*c**7/14 + c**5 - 5*c**3/2 - 13*c + 2. Let x(m) = 5*d(m) + 2*r(m). Factor x(v).
5*v*(v - 1)**2*(v + 1)**2
What is y in 4/5*y**2 - 8*y + 2/5*y**4 - 48/5 + 2*y**3 = 0?
-3, -2, 2
Let w(z) be the second derivative of -z**6/18 + 13*z**5/30 - z**4 + 17*z**3/6 + z**2 + 36*z - 1. Let n(y) be the second derivative of w(y). Factor n(j).
-4*(j - 2)*(5*j - 3)
Let h(n) be the second derivative of 0*n**2 + 31*n + 0*n**5 + 2/3*n**4 - 1/21*n**7 + 0*n**3 + 0 - 1/5*n**6. Solve h(b) = 0 for b.
-2, 0, 1
Find t such that 5 + 8*t - 73 - 29*t + 13*t - 30*t - 2*t**2 = 0.
-17, -2
Find y such that 256425*y**4 - 432 - 256423*y**4 + 50*y - 4*y**5 + 3*y**5 + 35*y**3 - 374*y = 0.
-3, -2, 4, 6
Suppose -6*v + 2*v = -8*v + 8, 4 = -2*g + 4*v. Let -g + 3/2*o**2 - 2*o - 1/2*o**4 + o**3 = 0. What is o?
-1, 2
Let a(u) = -u**5 - u**4 + 1. Let p(m) = 7*m**5 + 6*m**4 - 4*m**3 - 6. Let n(s) = -6*a(s) - p(s). Suppose n(z) = 0. What is z?
-2, 0, 2
Let p be -2 + 0 + (4 - 4) + 2. Let h(n) be the third derivative of -3/200*n**6 + p*n**3 + 4*n**2 + 1/350*n**7 + 1/50*n**5 + 0*n + 0*n**4 + 0. Factor h(t).
3*t**2*(t - 2)*(t - 1)/5
Let r = -7633/28 - -1091/4. Find c, given that 0 + 2/7*c**4 - 3/7*c**3 + r*c**2 + 0*c = 0.
0, 1/2, 1
Let g(r) be the first derivative of 0*r - 125 - 6/7*r**2 - 5/14*r**4 + 62/21*r**3. Solve g(k) = 0 for k.
0, 1/5, 6
Let l(b) = -2*b - 94. Let o be l(-48). Let d(f) be the first derivative of 2/21*f**3 - f**o + 13 + 12/7*f. Determine z, given that d(z) = 0.
1, 6
Let o(n) be the second derivative of 9/20*n**5 + 0*n**2 - 1/2*n**6 + 5/4*n**4 - 3*n - 2*n**3 + 2 + 1/14*n**7. What is k in o(k) = 0?
-1, 0, 1, 4
Let t be (-36)/(-60) - (2 - 144/(-15)). Let s(l) = 4*l**3 - 50*l**2 - 43*l. Let w(r) = -2*r**3 + 26*r**2 + 22*r. Let x(i) = t*w(i) - 6*s(i). Factor x(u).
-2*u*(u - 8)*(u + 1)
Suppose 2*z - 2*m - 46 = 0, 4*z - m = -5*m + 100. Factor 98 + a**2 + 12*a + z*a + a**2 - 8*a.
2*(a + 7)**2
Solve -84*z + 12*z**3 - 8 + 105*z**2 - 17*z**3 + 52*z**4 - 16*z**3 - 311*z**2 + 168*z = 0 for z.
-2, 2/13, 1/4, 2
Let d = -1623/28 - -14999/252. Factor 20/9 + 2/9*q**3 - 8/9*q**2 - d*q.
2*(q - 5)*(q - 1)*(q + 2)/9
Let c be ((-11)/((-66)/(-9)))/((-2)/52). Suppose -2*m**3 - 242 + 2*m - 134*m + 42*m**2 - c*m - 27*m = 0. Calculate m.
-1, 11
Let p be (2 - (-6 + 3))*(-6 + 5). Let i be 3 + (p - -5 - -5). Let -j**3 + 2*j**5 - 4*j**2 + i*j**4 - 4*j**4 + j**3 - 2*j = 0. What is j?
-1, 0, 1
Let q(y) be the first derivative of -1/2*y**2 + 1/3*y**3 + 58 - 2*y. Let q(f) = 0. What is f?
-1, 2
Factor 821 - 265*o**2 - 5*o**4 + 65*o**3 + 355*o - 1880 + 909.
-5*(o - 6)*(o - 5)*(o - 1)**2
Let c be 4 + -1 + 12/(-3). Let k(m) = 4*m**2 + 1. Let w be k(c). Factor 13*n**4 - 4*n - 2*n**2 - 6*n**4 + 2*n**3 + 2*n**w - 4*n**2 - n**4.
2*n*(n - 1)*(n + 1)**2*(n + 2)
Let i(a) = -4*a**2 + 2*a - 12. Let h(o) = -o + 8. Let f(x) = -x**2 - 2*x + 16. Let q(m) = 3*f(m) - 7*h(m). Let b(y) = -5*i(y) + 7*q(y). Factor b(v).
-(v - 1)*(v + 4)
Factor 65*d**2 + 0 - 1/2*d**4 - 44*d - 41/2*d**3.
-d*(d - 2)*(d - 1)*(d + 44)/2
Let j(b) = 53*b**2 - 313*b - 4. Let l(p) = 240*p**2 - 1251*p - 18. Let c(i) = 9*j(i) - 2*l(i). Determine v so that c(v) = 0.
-105, 0
Let t be ((-7)/(-42))/(((-2)/15)/(-1)). Let d be -1 + -1*3 - 4161/(-876). Find b, given that 11/4*b + 3/4 - d*b**3 + t*b**2 = 0.
-1, -1/3, 3
Factor -72*q + 3*q**4 - 82*q**2 + 160 + 1/2*q**5 - 19/2*q**3.
(q - 5)*(q - 1)*(q + 4)**3/2
Let u(z) = 27*z**4 + 66*z**3 + 701*z**2 + 2657*z + 10. Let f(t) = -5*t**4 + 5*t**2 + t - 2. Let k(v) = 5*f(v) + u(v). Factor k(r).
2*r*(r + 11)**3
Factor -5028/13*p + 2/13*p**2 + 5026/13.
2*(p - 2513)*(p - 1)/13
Let k(f) = 15*f**2 + 4582*f + 351079. Let c(w) = 85*w**2 + 25965*w + 1989450. Let j(r) = 8*c(r) - 45*k(r). Factor j(p).
5*(p + 153)**2
Let p = -4 + 3. Let n be (p + 3/5)/(16/(-80)). Factor -4*r**3 + 20 + 57*r**2 + 36*r - 20*r**n - 25*r**2.
-4*(r - 5)*(r + 1)**2
Suppose -12*s + 30 = 3*s. Solve 99*d**2 + 32 + 87*d**s - 4*d**3 - 56*d + 80*d**2 - 238*d**2 = 0.
1, 2, 4
Let i(a) = -369*a - 8116. Let o be i(-22). Let d(x) be the first derivative of -20 - 2*x**3 - 2*x**o + 5/4*x**4 + 8*x - 1/5*x**5. Find l such that d(l) = 0.
-1, 2
Let d be (-49)/(-7) + (-8 - (-5)/3). Let w(l) be the first derivative of -d*l**3 + 6 - 4*l + 3*l**2. Factor w(f).
-2*(f - 2)*(f -