6*r**4 + 1/9*r**6 + o*r + 21 - 2/9*r**3 + 2/15*r**5 + 0*r**2. Factor q(v).
2*v**2*(v - 1)*(v + 1)**2/3
Let i(w) be the third derivative of w**7/735 + w**6/28 - 17*w**5/210 - 5*w**4/28 + 16*w**3/21 + w**2 - 135. Solve i(y) = 0 for y.
-16, -1, 1
Let 945 + 5/3*q**3 - 615*q + 95*q**2 = 0. Calculate q.
-63, 3
Let g(r) be the second derivative of -1/6*r**3 - 2 - 1/20*r**4 + 1/5*r**2 - 11*r. Suppose g(f) = 0. Calculate f.
-2, 1/3
Let s = -59 - -61. Let x be 2/4 + 6/(-12). Solve -32 - 101*f + x*f**s + 85*f - 2*f**2 = 0.
-4
Let -1/7*a**4 - 1632/7*a - 62*a**2 + 45/7*a**3 - 1152/7 = 0. What is a?
-2, -1, 24
Let l(x) be the second derivative of x**5/90 - 25*x**4/54 + 38*x**3/9 - 1198*x. Find t such that l(t) = 0.
0, 6, 19
Let r = -2835907/1155 - 709/231. Let t = r + 2459. Factor -t*d**3 - 3/5*d**2 + 3*d - 9/5.
-3*(d - 1)**2*(d + 3)/5
Let o(t) = 5*t**3 + 55*t**2 + 410*t + 330. Let b(v) = -v**3 - 29*v**2 - 205*v - 165. Let r(y) = 5*b(y) + 2*o(y). Factor r(c).
5*(c - 11)*(c + 1)*(c + 3)
Factor -382/7*q + 125/7*q**2 + 1/7*q**3 + 256/7.
(q - 2)*(q - 1)*(q + 128)/7
Factor -44*l - 1/3*l**2 + 0.
-l*(l + 132)/3
Let w(b) be the first derivative of 0*b - 48 - 14/9*b**3 + 2/15*b**5 + 1/3*b**4 + 4/3*b**2. Factor w(a).
2*a*(a - 1)**2*(a + 4)/3
Let j(i) be the third derivative of -3*i**6/40 + 41*i**5/20 - 133*i**4/8 - 49*i**3/2 - 395*i**2 - i. Factor j(x).
-3*(x - 7)**2*(3*x + 1)
Let r(z) be the first derivative of z**4/2 - 98*z**3/3 + 319*z**2 + 15138*z + 667. Determine q so that r(q) = 0.
-9, 29
Let g(i) be the first derivative of 1/3*i**3 + 97 + 0*i - 1/4*i**4 + 3*i**2. Factor g(p).
-p*(p - 3)*(p + 2)
Suppose 0 = 2*j + 4, -j = d - 5*j - 29. Let f be 45/d - (-2)/(-14). Solve 8*l**2 + 4*l + l**3 + l**3 - f*l**2 = 0 for l.
-2, -1, 0
Let c(w) = 25*w - 10. Let a be c(-2). Let t be (-1 + 0)/(-2*(-2)/a). Factor 24*o + 5*o**3 - 82 - t*o**2 + 70 - 2*o**3.
3*(o - 2)**2*(o - 1)
Let i(c) be the first derivative of 2*c**3 - 1461*c**2/4 - 183*c - 3792. Factor i(r).
3*(r - 122)*(4*r + 1)/2
Solve 173/11*o**3 + 40/11*o**4 - 1/11*o**5 - 172/11*o - 16 + 136/11*o**2 = 0 for o.
-2, -1, 1, 44
Let h = 6/3775 + 731/15100. Let q(f) be the second derivative of 1/3*f**4 + 0 - 16*f + h*f**5 + 0*f**2 - 2/15*f**6 - 1/6*f**3. Determine k so that q(k) = 0.
-1, 0, 1/4, 1
Let m = 1969 + -1965. Suppose 13*p - 9*p = 4*b - 8, 0 = -2*b - p + m. Suppose -1/6*i**4 + 2/3*i - 1/6 + 2/3*i**3 - i**b = 0. Calculate i.
1
Let j(r) be the second derivative of r**7/840 - 29*r**6/240 + 7*r**5/10 - 107*r**4/12 - 101*r. Let c(d) be the third derivative of j(d). Factor c(g).
3*(g - 28)*(g - 1)
Suppose 3 = c, -43*c = -2*v - 40*c - 293. Let r = v - -147. Suppose -m**2 + 0*m**3 + 0 + m**4 + 1/2*m - 1/2*m**r = 0. Calculate m.
-1, 0, 1
Let z(q) be the first derivative of 2/21*q**3 + 0*q**2 + 32 + 3/28*q**4 + 0*q + 1/35*q**5. Factor z(r).
r**2*(r + 1)*(r + 2)/7
Let w(c) be the third derivative of c**9/393120 + 19*c**8/131040 + 11*c**5/30 + c**3/2 + 2*c**2 + 128. Let j(l) be the third derivative of w(l). Factor j(i).
2*i**2*(i + 19)/13
Factor 9349*r**2 - 18687*r**2 + 9342*r**2 - 52*r - 56.
4*(r - 14)*(r + 1)
Let c(a) be the first derivative of 0*a + 5/4*a**4 + 10/3*a**3 + 114 - 15/2*a**2. Factor c(t).
5*t*(t - 1)*(t + 3)
Let i(s) be the first derivative of -s**6/33 - 2*s**5/55 + 3*s**4/22 + 2*s**3/33 - 2*s**2/11 - 1862. Determine a so that i(a) = 0.
-2, -1, 0, 1
Let v be ((-8)/(-130))/((-63)/45). Let h = 99/182 + v. Determine i, given that h*i**2 + 3*i - 7/2 = 0.
-7, 1
Let i(g) = g**2 - 25*g + 47. Let s be i(23). Let a be 16/48 + s/(-9). Let 4/9 + 2/9*b - a*b**2 = 0. What is b?
-1, 2
Let q(l) = -10*l**3 + l**2 + 11*l**3 + 1 + 17*l**2 + 1 + 9*l**2. Let b be q(-27). Factor -1/2*w**4 + 0 + 0*w - 1/4*w**3 + 0*w**b.
-w**3*(2*w + 1)/4
Let v(b) be the second derivative of 0*b**2 + 5/12*b**4 - 5/42*b**7 - 62 + 0*b**3 - 1/6*b**6 - b + 1/4*b**5. Solve v(z) = 0.
-1, 0, 1
Let u = -1044015 - -3132046/3. Let -6*s + u*s**2 - 19/3 = 0. Calculate s.
-1, 19
Let m be (-627)/38*(-28)/6. Suppose -2*i + m - 29 = 0. Determine p so that 2*p**3 + i*p**2 - 17*p + 49*p + 128 + 64*p = 0.
-4
Let r(i) be the second derivative of -i**6/50 + 9*i**5/50 + 6*i**4/5 - 112*i**3/5 + 576*i**2/5 + 475*i - 10. Solve r(m) = 0.
-6, 4
Solve -140 + 667*u + 10*u**4 - 480 + 273*u + 915*u**2 - 635*u**3 = 0 for u.
-1, 1/2, 2, 62
Suppose -4914*r + 10360 = 266*r. Find k such that -22/9*k + 2/9*k**r + 4 = 0.
2, 9
Let g(f) be the third derivative of -f**6/720 + f**5/48 + 7*f**4/24 - 22*f**3/3 - 56*f**2. Let b(k) be the first derivative of g(k). Solve b(a) = 0.
-2, 7
Let z(q) = 10*q**3 - q**2 + q. Let c be z(1). Let b be 4/20 - c/50. Let -1/3*y**2 + 1/3*y**4 - 2/3*y + 2/3*y**3 + b = 0. What is y?
-2, -1, 0, 1
Suppose 8 = -d - 3*c + 43, 3*d - 5*c = 175. Suppose 50 = -d*i + 60*i. Factor -1/2*z**2 - 25/2 + i*z.
-(z - 5)**2/2
Let z(i) be the first derivative of 5*i**6/24 - 23*i**5/4 + 55*i**4/8 - 925. Determine j so that z(j) = 0.
0, 1, 22
Suppose -13731 = -3*m + 3*d - 13752, -6*m + 2*d = 2. Suppose 0 + 0*f - f**4 + 16/5*f**m - 3/5*f**2 = 0. What is f?
0, 1/5, 3
Let u(z) = -z**5 - 2*z**4. Let o(k) = -5*k**5 - 13*k**4 - 7*k**3 + 13*k**2 - 6*k. Let d(c) = o(c) - 6*u(c). Solve d(f) = 0 for f.
-3, 0, 1, 2
Let 156/17 + 2/17*g**2 + 58/17*g = 0. What is g?
-26, -3
Let j(w) = -8*w**4 + 119*w**3 + 1282*w**2 + 3675*w - 13. Let y(i) = -3*i**4 + 48*i**3 + 513*i**2 + 1470*i - 5. Let n(u) = -10*j(u) + 26*y(u). Factor n(f).
2*f*(f + 7)**2*(f + 15)
Let k(x) be the third derivative of x**7/105 + 2*x**6/5 - 66*x**5/5 + 108*x**4 + 463*x**2 + 10. Factor k(i).
2*i*(i - 6)**2*(i + 36)
Let j(d) be the first derivative of -7*d**2 + 13 - 19/6*d**3 + 1/4*d**4 + 23*d. Let t(l) be the first derivative of j(l). Determine w, given that t(w) = 0.
-2/3, 7
Suppose -232/5*b + 2/5*b**2 - 192 = 0. Calculate b.
-4, 120
Find k such that -2*k - 13*k + 55*k**2 - 33*k - 13*k - 54*k**2 + 888 = 0.
24, 37
Let h(z) be the third derivative of z**5/15 + z**4/3 - 80*z**3 + z**2 + 12*z. Solve h(m) = 0 for m.
-12, 10
Let i(d) be the second derivative of -d**6/6 - 243*d**5/2 - 307145*d**4/12 - 481950*d**3 - 3540250*d**2 + 2*d + 1621. Let i(p) = 0. Calculate p.
-238, -5
Suppose 194*r - 201*r + 28 = 0. Suppose r*b - 20 = s - 6*s, -12 = 5*b - 3*s. Find w, given that 2/5*w + 4/5*w**2 - 24/5*w**3 + b + 28/5*w**4 - 2*w**5 = 0.
-1/5, 0, 1
Let t be 13/(8/10 - (-73)/365). Let z(c) be the first derivative of 18/5*c + 7/20*c**4 - 1/25*c**5 - 3/10*c**2 + t - 13/15*c**3. Factor z(w).
-(w - 3)**2*(w - 2)*(w + 1)/5
Let w(p) be the third derivative of 113*p**2 - 5/48*p**4 + 0*p + 0 - 1/240*p**6 + 1/15*p**5 - 25/6*p**3. Suppose w(h) = 0. Calculate h.
-2, 5
Let t(c) = -c**2 + 39*c - 282. Let k be t(29). Let a be (4/k)/((-28)/(-24)). Determine r, given that -2/7*r - a + 1/7*r**2 = 0.
-1, 3
Let h(l) be the third derivative of l**8/126 + l**7/15 + 13*l**6/180 - l**5/3 - 2*l**4/9 - 2*l**2 + 3*l + 99. Solve h(r) = 0.
-4, -2, -1/4, 0, 1
Let f(r) be the third derivative of -r**7/840 - r**6/120 + r**5/15 + 2*r**4/3 - 10773*r**2. Factor f(z).
-z*(z - 4)*(z + 4)**2/4
Let z(t) be the third derivative of 11*t**6/40 - 12*t**5/5 + 15*t**4/2 - 8*t**3 + 9*t**2 + 187*t. Solve z(u) = 0.
4/11, 2
Let o(s) = 7*s**2 - 242*s + 393. Let y(t) = -3*t**2 + 118*t - 196. Let g(b) = -4*o(b) - 9*y(b). Find d, given that g(d) = 0.
-96, 2
Let f(h) be the third derivative of h**7/10 + 9*h**6/40 - 2*h**5 - 3*h**4/2 - 2*h**2 - 953*h - 1. Determine q so that f(q) = 0.
-3, -2/7, 0, 2
Let h(a) be the third derivative of -a**8/840 + 31*a**7/350 - 148*a**6/75 + 747*a**5/100 + 517*a**4/30 - 242*a**3/5 - 6971*a**2. Let h(s) = 0. Calculate s.
-1, 1/2, 3, 22
Suppose -12 = -5*f + 13. Factor 18*l**4 - l**f + 3*l**2 - 31*l**4 + 10*l**4 + 3*l**3 - 2*l**3.
-l**2*(l - 1)*(l + 1)*(l + 3)
Factor -6 - k + 1/4*k**3 - 1/4*k**4 + 5/2*k**2.
-(k - 3)*(k - 2)*(k + 2)**2/4
Factor 160*y**3 - 1734*y - 2040*y**2 + 8929*y - 185*y**3 - 2550.
-5*(y - 3)*(y + 85)*(5*y - 2)
Let q(l) be the third derivative of -l**8/168 - 2*l**7/105 + l**6/20 - 2*l**2 - 34*l. Factor q(p).
-2*p**3*(p - 1)*(p + 3)
Let d(f) be the third derivative of -f**10/6300 - 19*f**9/15120 - f**8/1680 - 7*f**5/60 + 74*f**2. Let q(c) be the third derivative of d(c). Factor q(z).
-4*z**2*(z + 3)*(6*z + 1)
Let a(z) be the second derivative of -21*z