or -1/7*t**2 - 5/7*t - g.
-(t + 2)*(t + 3)/7
Suppose 5*h + 2*p = 0, h + 0*p - p = 7. Let 18*s - 7*s**4 + 412*s**2 - h*s**4 + 3*s**5 - 391*s**2 - 9*s**3 = 0. What is s?
-1, 0, 2, 3
Let f(i) be the third derivative of i**5/75 - 583*i**4/30 + 388*i**3/5 + 2*i**2 - 1967*i + 2. Suppose f(k) = 0. What is k?
1, 582
Let q = 203175/2 - 101585. Suppose -11/8*n**3 + 0 + q*n**2 + 1/2*n = 0. Calculate n.
-2/11, 0, 2
Let j(w) = -1884*w + 1889. Let x be j(1). Let v(y) be the first derivative of 8/5*y**x + 3*y**2 + 32/3*y**3 + 15/2*y**4 - 4*y - 28. Factor v(l).
2*(l + 1)**2*(l + 2)*(4*l - 1)
Let i(y) be the second derivative of -y**7/525 + 2*y**6/25 - 24*y**5/25 + 77*y**2 + 171*y. Let q(t) be the first derivative of i(t). Factor q(a).
-2*a**2*(a - 12)**2/5
Let a be (-20)/6 - (-754)/39. Let r(s) be the first derivative of -a*s + 8*s**2 - 4/3*s**3 - 2. Let r(i) = 0. What is i?
2
Suppose 14*k + 0*k - 5*w = -30, -30 = k - 5*w. Factor -2/3*i**2 + k*i - 2/9*i**3 + 0.
-2*i**2*(i + 3)/9
Let k(d) = -9*d - 69. Let j be k(-8). Let t(r) = -7*r + 23. Let f be t(j). Let -f*s**5 + 0*s**2 + 0*s - 8/3*s**4 + 0 - 2/3*s**3 = 0. What is s?
-1, -1/3, 0
Let o(p) be the third derivative of -p**6/80 + 132*p**5/5 - 1055*p**4/16 - 285*p**2 + 2*p - 2. Suppose o(m) = 0. Calculate m.
0, 1, 1055
Let t(q) be the second derivative of q**7/56 + 7*q**6/4 + 201*q**5/20 + 33*q**4/2 - 38*q - 5. Factor t(n).
3*n**2*(n + 2)**2*(n + 66)/4
Let v(h) be the first derivative of -7*h**4/2 - 43*h**3/3 - 17*h**2 - 8*h + 146. Factor v(w).
-(w + 2)*(2*w + 1)*(7*w + 4)
Find z such that -6*z**3 - 15 + 2*z**2 - 566*z**4 - 50*z + 53*z + 551*z**4 + 28*z**2 + 3*z**5 = 0.
-1, 1, 5
Let z(s) be the third derivative of 1/20*s**4 + 1 + 1/1680*s**8 + 1/150*s**7 + 0*s + 17/300*s**5 + 0*s**3 + 17/600*s**6 + 31*s**2. Let z(a) = 0. What is a?
-3, -2, -1, 0
Let h = 363842 + -363830. Solve 6*b**2 + h*b + 0 - 21/4*b**3 + 3/4*b**4 = 0.
-1, 0, 4
Let h = 733 - 357. Let i = 2633/7 - h. Determine d so that 1/7*d**3 - i*d**2 + 1/7 - 1/7*d = 0.
-1, 1
Let t(q) = q**2 + 2*q. Let u(a) = -a**3 - 12*a**2 + 37*a - 54. Let l(x) = -30*t(x) - 3*u(x). Factor l(d).
3*(d - 6)*(d - 1)*(d + 9)
Let d be 3458/(-741)*((-2)/3 - (340/(-42) - -8)). Factor -26/3*z**2 + d*z + 13/3*z**3 + 0 + 5/3*z**4.
z*(z - 1)*(z + 4)*(5*z - 2)/3
Let f be 11 + -6 - 8 - 3/(-1). Let g(x) be the third derivative of -1/48*x**5 - 7*x**2 + 0 - 5/4*x**4 + f*x - 30*x**3. Solve g(k) = 0 for k.
-12
Let g(s) = -3*s**2 + 166*s - 1955. Let w be g(17). Factor w - 1/2*u**4 + 3/2*u**3 + 2*u**2 + 0*u.
-u**2*(u - 4)*(u + 1)/2
Let f be ((-12)/22)/((9/264)/(420/(-1400))). Let 28/5*i - f - 4/5*i**3 + 0*i**2 = 0. Calculate i.
-3, 1, 2
Let g(w) be the first derivative of w**6/42 + 9*w**5/5 + 447*w**4/14 - 3070*w**3/21 + 3201*w**2/14 - 1089*w/7 - 475. Factor g(y).
(y - 1)**3*(y + 33)**2/7
Let o(b) be the second derivative of 3*b**5/80 + 5*b**4/8 + 23*b**3/8 + 21*b**2/4 + 300*b - 2. Factor o(d).
3*(d + 1)*(d + 2)*(d + 7)/4
Let f(n) be the first derivative of -3*n**5 + 230*n**4 - 1195*n**3/3 - 155*n**2 + 600*n - 1303. Solve f(s) = 0 for s.
-2/3, 1, 60
Let i be -8*75/(-130)*5287/933. Factor i*u - 2/13*u**2 - 14450/13.
-2*(u - 85)**2/13
Let g be 1 + ((-1)/(-3) + 0)*(-99)/33. Factor 0*b + 18*b**3 + 54/5*b**2 + 42/5*b**4 + g + 6/5*b**5.
6*b**2*(b + 1)*(b + 3)**2/5
Let f(k) be the second derivative of -1/20*k**5 - 9*k - 1/12*k**4 + k**2 + 7/18*k**3 + 1/90*k**6 + 1. Let f(j) = 0. What is j?
-1, 2, 3
Let u = -211/4 - -53. Suppose -4*n + 5*h - 5 = 0, -4*h = -12*n + 16*n - 4. Solve 0*z**3 + 1/4*z**4 - 1/2*z**2 + u + n*z = 0.
-1, 1
Let n = -1774 + 730. Let s be ((-4)/(-9))/((-1624)/n). Let -s - 2/7*i**4 + 4/7*i**2 - 4/7*i**3 + 2/7*i**5 + 2/7*i = 0. Calculate i.
-1, 1
Let l(w) be the third derivative of w**8/21 + 34*w**7/21 + 61*w**6/6 + 55*w**5/3 + 17*w**4/2 - 38*w**2. Suppose l(d) = 0. What is d?
-17, -3, -1, -1/4, 0
Let q(l) be the second derivative of l**4/4 - 107*l**3/2 - 162*l**2 - 30*l + 11. Solve q(i) = 0.
-1, 108
Let p = 31871 - 31868. Determine b, given that 3/4*b**p + 87/4*b + 15 + 15/2*b**2 = 0.
-5, -4, -1
Let f be 4/(-6)*174/(-4466)*77. What is n in -56/15*n - 2/5 - 6/5*n**f = 0?
-3, -1/9
Let i(n) be the second derivative of -n**7/35 - n**6/60 + n**5/10 + n**4/12 + 39*n**2/2 + 47*n. Let s(u) be the first derivative of i(u). Factor s(x).
-2*x*(x - 1)*(x + 1)*(3*x + 1)
Let q(r) be the first derivative of 81*r + r**4 + 6 - 6 + 21 - 73*r - 6*r**2. Factor q(t).
4*(t - 1)**2*(t + 2)
Let a(i) be the third derivative of i**5/510 - i**4/17 - 5*i**3/3 - 3*i**2 - 15*i. Determine r so that a(r) = 0.
-5, 17
Let x(z) be the third derivative of -215/12*z**4 + 2*z + 0 - 101/12*z**5 - 20*z**3 + 5/42*z**7 + 5/112*z**8 - 21*z**2 - 37/24*z**6. Suppose x(q) = 0. What is q?
-3, -1, -2/3, 4
Let v = 13459 - 605654/45. Let j(a) be the first derivative of -1/9*a**2 - 38 + 0*a + 0*a**4 - v*a**5 + 1/9*a**3. Determine y, given that j(y) = 0.
-2, 0, 1
Let w be (14/336)/((-11)/(-396)). What is c in w*c**3 + c**2 - 1/4*c**5 - 2*c + 0 - 1/4*c**4 = 0?
-2, 0, 1, 2
Let j(q) = -2*q**2 + 193*q + 247. Let x(r) = 2*r**2 - 218*r - 248. Let y(s) = -4*j(s) - 3*x(s). Factor y(v).
2*(v - 61)*(v + 2)
Let d(y) be the third derivative of -y**7/315 + 5*y**6/36 + 17*y**5/6 + 35*y**4/4 - 66*y**3 - 10845*y**2. Determine k, given that d(k) = 0.
-6, -3, 1, 33
Let p(r) = -9*r**2 + 1339*r - 1330. Let l(o) = -8*o**2 + 1336*o - 1328. Let m(b) = -5*l(b) + 4*p(b). Factor m(v).
4*(v - 330)*(v - 1)
Let g(c) = 10*c**4 + 17*c**3 + 25*c**2. Let r be (10/4 + -3)/((-2)/(-36)). Let m(y) = 2*y**4 + 4*y**3 + 6*y**2. Let j(n) = r*m(n) + 2*g(n). Factor j(h).
2*h**2*(h - 2)*(h + 1)
Let m be 12/8*(-14)/(-21). Let a(d) = -d**3 - d**2. Let b(o) = -15*o**3 - 15*o**2 + 80*o - 100. Let v(k) = m*b(k) - 10*a(k). Factor v(q).
-5*(q - 2)**2*(q + 5)
Factor 63*o + 255/4 - 3/4*o**2.
-3*(o - 85)*(o + 1)/4
Let w(p) be the first derivative of 2*p**5/55 + p**4/22 - 34*p**3/33 + 15*p**2/11 - 2609. Solve w(q) = 0 for q.
-5, 0, 1, 3
Suppose -37*n + 32*n = -25. Solve n*h**2 - 5*h**2 + 8*h**2 - 3*h**2 + 5*h**3 - 20 - 20*h = 0 for h.
-2, -1, 2
Let a be 1/(212/30 + -4 + -3). Suppose 0 = -8*q + a*q - 14. Find y such that 6 + 5*y**4 + 4*y**q + 6*y**3 - 6*y**4 - 13*y - y**4 - y**5 = 0.
-3, -2, 1
Let w = 31 - -13. Suppose 0 = -4*b - 12 + w. Let 5*r**3 + 2*r**2 + 14*r**4 + b*r**4 + 9*r**3 + 17*r**5 - 7*r**5 = 0. What is r?
-1, -1/5, 0
Let l(r) = -118*r + 5433. Let s be l(46). Let f(k) be the second derivative of 0 - 1/5*k**s - 36*k + 0*k**2 + 7/3*k**3 + 13/6*k**4. Find h, given that f(h) = 0.
-1/2, 0, 7
Suppose -7584*l - 1574*l + 669 = -26805. Factor -14/17*q**4 - 32/17*q - 6/17 - 60/17*q**2 - 48/17*q**l.
-2*(q + 1)**3*(7*q + 3)/17
Let o(u) be the second derivative of 1/54*u**4 - 4/27*u**3 + 0*u**2 + 0 + 79*u. Factor o(g).
2*g*(g - 4)/9
What is n in -207/4*n**2 + 0 + 3/4*n**3 - 213/2*n = 0?
-2, 0, 71
Let x(z) be the third derivative of -z**6/1260 + 59*z**5/630 - 34*z**4/9 + 112*z**3/3 + 2*z**2 + 224*z. Factor x(a).
-2*(a - 28)**2*(a - 3)/21
Let k(u) = -2*u**2 + 478*u - 394. Let w(y) = 2*y**2 - 447*y + 393. Let t(g) = -6*k(g) - 7*w(g). Factor t(c).
-(c - 129)*(2*c - 3)
What is q in -912/5*q**3 + 2702336256/5 - 47409408/5*q + 1/5*q**4 + 311904/5*q**2 = 0?
228
Let -4/7*t**2 + 332 - 304/7*t = 0. What is t?
-83, 7
Let x = 550559 - 550539. Factor 100/7 + 44/7*h**2 - x*h - 4/7*h**3.
-4*(h - 5)**2*(h - 1)/7
Let s be 25/(-10)*25364/595. Let w = s + 9712/91. Factor w*x**2 + 0 + 4/13*x.
2*x*(x + 2)/13
Let y(j) be the second derivative of 0 + 85/12*j**6 - 165/4*j**4 + 55/3*j**3 + 10*j**2 - 68*j + 61/8*j**5. Solve y(c) = 0.
-2, -2/17, 2/5, 1
Let r(g) be the third derivative of 11*g**2 + 115/72*g**4 + 53/72*g**6 - 1 - 5/9*g**3 - 17/126*g**7 + 0*g - 19/12*g**5. Determine f so that r(f) = 0.
2/17, 1
Let f(v) be the first derivative of -v**7/280 - 3*v**6/40 - 32*v**3/3 - 91. Let i(j) be the third derivative of f(j). Suppose i(h) = 0. Calculate h.
-9, 0
Let a(w) be the second derivative of 0*w**3 + w - 1/140*w**5 + 2 - 1/42*w**4 + 0*w**2. Factor a(u).
-u**2*(u + 2)/7
Let n(u) be the third derivative of -u**5/240 - 389*u**4/12 - 302642*u**3/3 + 4*u**2 - 208*u - 1. Factor n(d).
-(d + 1556)**2/4
Let u(d) = -12*d**3 - 99*d**2 + 117*d + 231. Let h(z) = 11*z**3 + 100*z**2 - 117*z - 230. Let l(n) = -9*h(n) - 8*u(