ctor m(r).
2*(r - 13)*(r - 1)*(r + 1)
Let d(u) be the first derivative of -4/9*u**3 - 1/18*u**6 - 1/2*u**4 + 0*u - 4/15*u**5 + 62 - 1/6*u**2. Suppose d(j) = 0. Calculate j.
-1, 0
Let j be 4 + 42/(-6) - -6. Let k(h) = -2*h**2 - 1. Let i(u) = -9*u**2 + 4*u - 1. Let a(v) = j*i(v) - 15*k(v). Determine b, given that a(b) = 0.
-2
Find b, given that 55148*b**4 + 10*b**5 - 12*b**2 - 40*b**3 - 55112*b**4 + 6*b**5 = 0.
-3, -1/4, 0, 1
Let j be (-304)/133*(-245)/130. Factor j + 22/13*z**2 + 6*z.
2*(z + 1)*(11*z + 28)/13
Factor -1238 + 5825*n - 4*n**2 - 574 - 5609*n - 908.
-4*(n - 34)*(n - 20)
Let m(a) be the second derivative of a**5/20 - a**4/12 - 2*a**3/3 + 3*a**2/2 + 602*a. Let j be m(0). Solve -3/4*v**2 - 15/4*v - j = 0.
-4, -1
Let a(n) = -6*n**2 + 37*n + 257. Let i(q) be the first derivative of q**3 - 9*q**2 - 129*q - 267. Let r(k) = 6*a(k) + 13*i(k). Let r(l) = 0. What is l?
-5, 9
Let g(j) be the second derivative of -j**7/28 - 329*j**6/20 - 78681*j**5/40 + 136777*j**4/8 - 55444*j**3 + 83667*j**2 + 3139*j. Determine a so that g(a) = 0.
-167, 1, 2
Let j be 229/21*(117 - 118) - -11. Let c(t) be the third derivative of -1/5*t**6 + 0*t**4 - 16*t**2 + 0 + j*t**7 + 0*t**3 + 0*t + 1/15*t**5. Factor c(g).
4*g**2*(g - 1)*(5*g - 1)
Let t be 3375/11 - ((-90)/165)/3. Suppose 291 = -8*g + t. Factor -1/2*p**5 - 15/2*p**3 + 0*p + 9/2*p**g + 0 + 7/2*p**4.
-p**2*(p - 3)**2*(p - 1)/2
Let q = -1345/193 - -15193/1737. Factor 0 - 52/9*i**2 + 4/3*i + q*i**3.
4*i*(i - 3)*(4*i - 1)/9
Let t = 239 - 187. Suppose -56*w**3 - 2*w + t*w**3 + 8*w**2 - 2*w = 0. What is w?
0, 1
Solve 0 + 0*f + 35/2*f**3 - 9*f**2 + f**4 = 0.
-18, 0, 1/2
Factor 55*o - 113931*o**3 + 56963*o**3 + 30*o**2 + 30 + 56973*o**3.
5*(o + 1)*(o + 2)*(o + 3)
Factor 26*i**2 + 2/9*i**3 + 0 + 0*i.
2*i**2*(i + 117)/9
Let d(i) be the first derivative of i**5 - 65*i**4/4 + 95*i**3/3 + 165*i**2/2 - 5400. Factor d(u).
5*u*(u - 11)*(u - 3)*(u + 1)
Let a(c) be the third derivative of 0*c + 0*c**3 - 258*c**2 + 0 + 1/60*c**6 + 0*c**4 - 1/360*c**5 + 13/1260*c**7. Factor a(l).
l**2*(l + 1)*(13*l - 1)/6
Let r(k) = 388*k**2 + 386*k**2 - 1156*k**2 + k + 383*k**2. Let x(y) = -9*y - 2*y - 3*y**3 - 16*y**2 - 2*y**3. Let a(g) = -6*r(g) - x(g). Factor a(s).
5*s*(s + 1)**2
Suppose -14 = -11*y + 8. Factor -3*k - 78 - 14*k**2 + 80 + k**3 + 14*k**y.
(k - 1)**2*(k + 2)
Let v = -482 - -484. Let c be (72/(-168))/((-3)/v). Suppose -c*s + 4/7*s**2 + 0 - 2/7*s**3 = 0. What is s?
0, 1
Determine u so that -2/3*u**5 + 2*u**4 + 284/3*u**3 - 288*u**2 + 0 + 192*u = 0.
-12, 0, 1, 2, 12
Let u(d) be the second derivative of -d**4/12 + 1082*d**3/3 - 585362*d**2 - 15*d + 62. Solve u(l) = 0 for l.
1082
Let n be 40/(-6) + 2 - 8091/(-837). Factor 0 + 0*b - 2*b**2 - 11/3*b**3 - 4/3*b**4 + 1/3*b**n.
b**2*(b - 6)*(b + 1)**2/3
Let h(f) be the second derivative of -4/15*f**3 + 1/25*f**5 + 4 + 0*f**2 - 1/15*f**4 - 9*f. Solve h(z) = 0 for z.
-1, 0, 2
Let j(c) be the first derivative of -1/28*c**4 + 0*c + 1/42*c**6 + 154 - 2/35*c**5 + 2/21*c**3 + 0*c**2. Factor j(q).
q**2*(q - 2)*(q - 1)*(q + 1)/7
Factor -2*k**4 + 46309*k - 26877*k + 2972*k**2 + 80024*k - 234741 - 168*k**3 - 2*k**4 - 1167115.
-4*(k - 16)**2*(k + 37)**2
Let w(h) = -627*h - 19432. Let g be w(-31). Factor 590/3*b**3 + 11830*b - 10985/3 - 2600*b**2 - g*b**4.
-5*(b - 13)**3*(3*b - 1)/3
Let f(z) be the third derivative of z**6/900 - 39*z**5/25 - 2*z**2 + 3795*z. Factor f(q).
2*q**2*(q - 702)/15
Let p be (-13018)/(-621) + -21 + 110/54. What is n in 3/4*n**p + 15/2 - 21/4*n = 0?
2, 5
Let -55*y**3 + 306*y - 744 + 116*y**3 - 194*y**2 - 59*y**3 + 212*y + 234*y = 0. Calculate y.
2, 93
Factor -12*h**3 + 16*h**2 - 1718*h - 8*h**4 + 857*h + 869*h - 4*h**2.
-4*h*(h - 1)*(h + 2)*(2*h + 1)
Suppose 0 = 28230*d - 28306*d. Factor 62/3*s**3 + 2/3*s**5 - 34/3*s**4 + 0 - 10*s**2 + d*s.
2*s**2*(s - 15)*(s - 1)**2/3
Let h(i) be the first derivative of i**3/3 - i**2/2 - 68. Let w(x) = -10*x**2 + 165*x - 1280. Let a(j) = -5*h(j) - w(j). Find y, given that a(y) = 0.
16
Let q(h) be the first derivative of 0*h - 3*h**3 + 1/6*h**6 - 49/20*h**5 + 0*h**2 + 135 + 39/4*h**4. Solve q(c) = 0.
0, 1/4, 6
Let n(g) = -6*g**2 - 13*g + 5. Let m be 1 - (3 - (2 - 2)). Let y(s) = -1 + s + 3*s**2 + s + 5*s - 1. Let d(k) = m*n(k) - 5*y(k). Find p such that d(p) = 0.
-3, 0
Let u(r) be the first derivative of 2*r**5/55 + 7*r**4/22 + 10*r**3/11 + 9*r**2/11 + 1666. Let u(n) = 0. Calculate n.
-3, -1, 0
Let m(d) = -5*d**2 + 413*d + 8. Let s(p) = 17*p**2 - 1238*p - 26. Let y(w) = 13*m(w) + 4*s(w). Suppose y(j) = 0. What is j?
-139, 0
Let k be (-1)/((33/(-54))/11). Let g = 25 - k. Suppose 5*i**5 - 10*i**4 + 10*i**2 - 15*i - g*i + 17*i = 0. What is i?
-1, 0, 1
Let w be (-6)/(-16) - 3/8. Suppose -13 = -4*o + 5*z, w + 11 = 5*o - z. Solve -6 + 101*x**3 - 15*x - 12*x**o - 202*x**3 + 98*x**3 = 0.
-2, -1
What is s in -646*s**2 + 69330 + 25775 + 2*s**3 + 21186*s - 3513 + 226*s**2 + 0*s**3 = 0?
-4, 107
Let l be -2 + (3 - 3) - (-5 - 9). Suppose 13*g**2 - l*g**2 + 9*g - 4*g**2 = 0. What is g?
0, 3
Let k(g) = g**3 - 69*g**2 + 73*g - 337. Let l be k(68). Solve 3/2*u**3 - 27 + l*u**2 - 27/2*u = 0 for u.
-3, -2, 3
Suppose -11*l + 20*l + z = 33, 3*z = 4*l + 37. Factor -4/5*i**l + 2/5*i**4 - 16/5 - 6/5*i**3 + 24/5*i.
2*(i - 2)**2*(i - 1)*(i + 2)/5
Let o(l) be the first derivative of 2/35*l**5 + 0*l - 11/7*l**2 - 16 - 2*l**3 - 9/14*l**4. What is g in o(g) = 0?
-1, 0, 11
Suppose 10*t = -10*t + 3680. Suppose -219*n - 154*n + 10*n**2 - 13*n**2 + t*n + 192 = 0. Calculate n.
-64, 1
Find i such that 97*i**3 - 1249/3*i**2 - 43/6*i**4 - 583/6*i + 847/2 + 1/6*i**5 = 0.
-1, 1, 11, 21
Suppose 4/3*a**3 + 2516*a + 108*a**2 + 38332/3 = 0. What is a?
-37, -7
Let a(g) be the first derivative of 2*g**3/3 - 7*g**2/2 - 28*g - 127. Let j be a(6). Factor -2/3*m**3 - 2/9*m + 0 - 2/9*m**4 - 2/3*m**j.
-2*m*(m + 1)**3/9
Let k be (-8)/(-21) - (696/(-72))/(-29). Let z(d) be the second derivative of 0*d**2 - k*d**3 - 7*d + 0 - 1/84*d**4. Suppose z(p) = 0. Calculate p.
-2, 0
Let v be (9/6)/((-2538)/(-848) + -3). Let o be v/(-68) - ((-28)/(-34))/7. Factor -4*i**2 + 4/3*i**o + 8/3 + 4/3*i**4 - 4/3*i.
4*(i - 1)**2*(i + 1)*(i + 2)/3
Let g(q) be the second derivative of 2*q**7/21 - 88*q**6/15 + 33*q**5 - 202*q**4/3 + 160*q**3/3 + 1427*q. Let g(k) = 0. Calculate k.
0, 1, 2, 40
Suppose -4*m + 3*a = 9, -6*m - 2*a + 6 = -2*m. Suppose m = -2*y - 4*y + 36. What is q in 2*q**2 - 22 + 22 - y*q**2 - 20*q = 0?
-5, 0
Suppose -34*s = -40*s - 378. Let y = -47 - s. Determine m, given that 0*m + 4*m**3 - 9*m**2 - y + 2*m**3 - 7*m**3 - 24*m = 0.
-4, -1
Let c(a) be the second derivative of a**4/4 + 1681*a**3/3 + 1120*a**2 + 11472*a + 2. Let c(i) = 0. Calculate i.
-1120, -2/3
Suppose s = -5*v + 6, 0*v + 5*s = 2*v - 24. Find u, given that 3*u**5 + 60*u**v + 2*u**4 - 76*u - 62*u**4 + 297*u**3 - 224*u = 0.
-1, 0, 1, 10
Suppose -106*z + 97*z - 945 = 0. Let g = z - -107. Factor -4/7*m**g + 16*m - 112.
-4*(m - 14)**2/7
Let m(c) be the second derivative of -9*c**7/70 - 8*c**6/25 + 93*c**5/100 + 33*c**4/10 + 2*c**3 - 12*c**2/5 + 4678*c. Let m(v) = 0. Calculate v.
-2, -1, 2/9, 2
Let v(p) be the second derivative of p**6/45 + 9*p**5/5 + 64*p**4/3 + 736*p**3/9 - 86*p - 7. Let v(i) = 0. Calculate i.
-46, -4, 0
Factor -419*d**2 + 2507/2*d - 835 + 1/2*d**3.
(d - 835)*(d - 2)*(d - 1)/2
Let f be 6/((-51)/(-238)*2). Let x(q) be the second derivative of 0 + 0*q**2 + 1/3*q**3 + 3/10*q**5 + f*q + 1/15*q**6 + 1/2*q**4. Factor x(w).
2*w*(w + 1)**3
Let f(d) be the third derivative of -d**5/110 + 309*d**4/44 - 11*d**2 - d. Find p, given that f(p) = 0.
0, 309
Let c(b) be the first derivative of -5*b**4/4 + 520*b**3/3 + 5*b**2/2 - 520*b - 693. Let c(q) = 0. Calculate q.
-1, 1, 104
Let b(g) be the third derivative of 43*g**2 - g + 0 - 1/15*g**5 - 20*g**3 + 31/6*g**4. Factor b(t).
-4*(t - 30)*(t - 1)
Let 2/5*k**2 + 84/5*k + 82/5 = 0. Calculate k.
-41, -1
Factor -6151*t + 585*t + 4960*t**2 + 4950 - 5*t**3 - 3194*t - 2046*t + 901*t.
-5*(t - 990)*(t - 1)**2
Let s(o) be the first derivative of -o**5 + 25*o**4/2 - 140*o**3/3 + 15*o**2 + 225*o - 1010. What is c in s(c) = 0?
-1, 3, 5
Find a such that 48 + 10*a + 5*a**4 - 48*a**2 - 24*a**3 - 5*a - 81*a**3 - a + 96*a**3 = 0.
-2, -6/5, 1, 4
Let h(c) be the first derivative of 2*c**7/945 + c**6/270 - c**5/