 - 146*x. Let d be h(-5). Factor 12/7*k + 0 + 2/7*k**d.
2*k*(k + 6)/7
Let f(z) = -2*z**3 - 262*z**2 + 542*z. Let s(y) = y. Let w(a) = 2*f(a) - 20*s(a). Find t such that w(t) = 0.
-133, 0, 2
Find t, given that 244*t**3 - t**4 - 39*t - 2259*t**3 - 1435*t - 186*t - 24*t**4 + 4960*t**2 = 0.
-83, 0, 2/5, 2
Let p(k) = 6*k**2 - 53*k + 21. Let j be p(9). Let i be (10/j)/(20/252). Factor -3/5*d**2 - 36/5 + i*d.
-3*(d - 4)*(d - 3)/5
Let p(a) = a**2 - 4*a + 7. Let w be p(3). Suppose -w*i - 3 = -5*i. Factor 2 - 23*c**2 - c**i + 27*c**2 - 5*c + 0*c.
-(c - 2)*(c - 1)**2
Let o(g) be the second derivative of g**6/10 + 41*g**5/100 + 13*g**4/20 + g**3/2 + g**2/5 - 42*g. Solve o(i) = 0 for i.
-1, -2/5, -1/3
Let z(o) be the second derivative of 0*o**2 - 1/5*o**4 + 2/25*o**6 - 34*o + 0 - 2/105*o**7 + 1/25*o**5 + 0*o**3. Solve z(n) = 0.
-1, 0, 1, 3
Let p(l) be the second derivative of -32/15*l**3 - 3*l + 31 - 1/25*l**5 + 0*l**2 + 8/15*l**4. Solve p(f) = 0.
0, 4
Factor -10*o**3 + 11*o**3 - 2*o**2 - 2*o**2 - 15*o - o**2 + 3*o**2.
o*(o - 5)*(o + 3)
Let r = -576380/3 - -192127. Factor r*u**2 - 1/3 + 0*u.
(u - 1)*(u + 1)/3
Let b(h) be the first derivative of 1/28*h**4 + 18 - 2*h + 8/7*h**3 + 96/7*h**2. Let m(c) be the first derivative of b(c). Factor m(w).
3*(w + 8)**2/7
Let g(m) be the second derivative of m**7/70 - m**6/8 + m**5/5 - 8*m**2 + 30*m - 1. Let c(v) be the first derivative of g(v). Factor c(q).
3*q**2*(q - 4)*(q - 1)
Let r(k) be the third derivative of -k**6/200 - 283*k**5/100 - 20163*k**4/40 - 19881*k**3/10 - 11*k**2 - 174*k. Suppose r(y) = 0. Calculate y.
-141, -1
Solve 229400*r + 5/3*r**3 + 684500/3 + 1235*r**2 = 0.
-370, -1
Let a = 11/11502 + 45931/80514. Suppose -24/7*d + a*d**2 + 20/7 = 0. Calculate d.
1, 5
Solve 3/5*q**5 - 216/5*q + 81/5*q**4 - 81/5*q**2 + 0 + 213/5*q**3 = 0.
-24, -3, -1, 0, 1
Suppose -4*d + 15 = -l, -8*l = -4*l - 4*d. Suppose -10*x = -l*x - 15. Factor -3*k**3 + 81 + 7*k - 2*k**2 - 4*k**x - 79.
-(k - 1)*(k + 1)*(7*k + 2)
Let s = 148471/30 + -4949. Let w(h) be the third derivative of 0*h + 0 - 1/336*h**8 + 0*h**3 + 0*h**6 - 23*h**2 + 1/105*h**7 + 1/24*h**4 - s*h**5. Factor w(r).
-r*(r - 1)**3*(r + 1)
Let u(l) = 2*l**3 - 676*l**2 - 2842*l - 2852. Let b(y) = -8*y**3 + 2690*y**2 + 11369*y + 11410. Let h(s) = 4*b(s) + 18*u(s). Solve h(a) = 0.
-2, 356
Let c(y) be the third derivative of -y**7/105 - 3*y**6/10 - 37*y**5/30 + 33*y**4 - 484*y**3/3 - 257*y**2. Find o such that c(o) = 0.
-11, 2
Let h(o) = o + 1. Let d be h(2). Suppose -5*u + 195 = 6*r - 3*r, 0 = d*r. Solve -u*w**2 + 61*w**2 - 28*w**2 - 3*w**3 = 0 for w.
-2, 0
Suppose -2*x = -41*a + 170, -9*a + x - 1 = -10*a. Find v such that 25/4*v**2 - 4*v + 7/4*v**a - 1/4*v**5 + 1 - 19/4*v**3 = 0.
1, 2
Let d(j) be the third derivative of -11*j**10/2016 - j**9/189 + j**8/336 + j**4/8 - 12*j**2. Let r(a) be the second derivative of d(a). Solve r(h) = 0.
-2/3, 0, 2/11
Let s(r) be the third derivative of -r**6/660 - 34*r**5/165 + 23*r**4/44 - 58*r**2 - 4*r. Solve s(g) = 0 for g.
-69, 0, 1
Let h(n) be the second derivative of 0 + 0*n**2 + 2*n - 1/2*n**4 + 17/6*n**3 + 1/15*n**5 + 1/90*n**6. Let i(s) be the second derivative of h(s). Factor i(t).
4*(t - 1)*(t + 3)
Let b(z) = -z**5 - 8*z**4 - 12*z**3 + 36*z**2 + 57*z - 5. Let p(u) = u**4 - 2*u**3 + u - 5. Let j(k) = -b(k) + p(k). Solve j(s) = 0 for s.
-7, -2, 0, 2
Let j(i) = -3*i**2 - 19*i - 18. Let t be j(-5). Factor -43*m - 1717*m**t - 28 - 485*m - 4 - 461*m**2.
-2*(33*m + 4)**2
Let r(j) be the third derivative of 0 - 16/7*j**7 + 23*j**2 + 0*j - 1/9*j**3 + 5/6*j**4 + 82/15*j**6 - 293/90*j**5. What is w in r(w) = 0?
1/12, 1/5, 1
Let n(d) be the third derivative of d**7/140 - 39*d**6/10 - 627*d**5/40 - 157*d**4/8 - 425*d**2. Factor n(l).
3*l*(l - 314)*(l + 1)**2/2
Suppose 140*y - 2099 + 16584 = 3037*y. Let -42/5*a**3 + 14/5*a**y - 94/5*a**4 + 94/5*a**2 + 28/5*a + 0 = 0. Calculate a.
-1, -2/7, 0, 1, 7
Let x = -589 - -586. Let a(i) = 5*i**3 - 2*i**2 + i - 2. Let z(c) = 3*c**3 - c**2 - 1. Let h(l) = x*a(l) + 6*z(l). Determine g, given that h(g) = 0.
-1, 0, 1
Let p(a) be the first derivative of 0*a**3 - 1/140*a**5 + 10*a - 1/42*a**4 + 5 + 0*a**2. Let g(t) be the first derivative of p(t). Find v such that g(v) = 0.
-2, 0
Let p be (-1)/9 + 183/(-183). Let y = -7/9 - p. Let -1/3*i**3 + y*i**2 + 1 + 5/3*i = 0. Calculate i.
-1, 3
Let w(s) be the third derivative of 0*s**3 + 0 + 5/36*s**4 + 1/180*s**5 + 56*s**2 + 0*s. Factor w(b).
b*(b + 10)/3
Suppose 8*j = -51 + 299. Determine o so that -2*o**2 + 7*o**2 + j*o**2 - 72*o - 138*o + 400 - 2*o**3 = 0.
5, 8
Factor 8815*k**2 + 11*k**3 - 6294 - 5*k + 2697 - 6762 + 1544 - 6*k**3.
5*(k - 1)*(k + 1)*(k + 1763)
Let j(t) = 16870*t + 286910. Let n be j(-17). Solve -92*f - 4/3*f**3 - n - 64/3*f**2 = 0 for f.
-10, -3
Let u = 683/378 - 95/54. Let g(r) be the second derivative of 0*r**2 - u*r**3 + 0 - 11*r + 1/14*r**4 - 3/70*r**5 + 1/105*r**6. Factor g(m).
2*m*(m - 1)**3/7
Let x(c) be the third derivative of c**6/120 - c**5/60 + 104*c**2. Let h(j) = -2*j**2 - 6*j. Let y(f) = -h(f) - 2*x(f). Let y(z) = 0. What is z?
-1, 0, 3
Let i(f) be the first derivative of 5*f**4/4 + 135*f**3 + 2215*f**2/2 - 2625*f + 14635. Let i(d) = 0. What is d?
-75, -7, 1
Let q(n) = n**3 - 8*n**2 + 15*n - 15. Let y be q(6). What is p in -p**2 - 4*p**2 + 70*p**3 + 104*p**4 + 123*p**4 + y*p**2 - 155*p**4 = 0?
-1, 0, 1/36
Let u(i) be the third derivative of i**5/240 - 11*i**4/6 - 89*i**3/6 + 1782*i**2. What is m in u(m) = 0?
-2, 178
Let b = -563 + 528. Let p = b + 39. Factor -2/7*g**p + 2/7*g**3 + 0 + 0*g + 0*g**2.
-2*g**3*(g - 1)/7
Let g(x) be the second derivative of -x**4/3 + 160*x**3/3 - 888*x**2 - 3*x + 1192. Factor g(o).
-4*(o - 74)*(o - 6)
Let o(f) be the second derivative of 268*f - 48/7*f**2 - 50/21*f**3 + 0 + 31/42*f**4 - 3/70*f**5. Factor o(w).
-2*(w - 8)*(w - 3)*(3*w + 2)/7
Suppose 3*p = 8*p - 320. Suppose 5*y = 2*v + 113 - 40, 0 = -4*y - 4*v + p. Solve -12*z**3 + 4*z**2 + 12*z**4 + y*z - 3*z - 16*z**4 = 0.
-3, -1, 0, 1
Let q be (-1 - -29)/((-2)/(-5)*5). Let w = 103 + -101. Factor i**w - 5*i - q*i + 17*i.
i*(i - 2)
Let n(u) = 5*u**2 + 7. Let i = 11 - 18. Let v(c) be the first derivative of -2*c**3/3 - 3*c - 72. Let g(h) = i*v(h) - 3*n(h). Factor g(j).
-j**2
Let w = 623 - 628. Let s be -15*4*w/700. Solve 0 - s*y**3 + 3/7*y + 0*y**2 = 0.
-1, 0, 1
Let q be (2*15)/(-1*(5 + -6)). Let z**3 - q*z**5 + 21*z**5 + 2*z**4 + 10*z**5 = 0. Calculate z.
-1, 0
Solve -4/5*h**4 - 32/5*h - 48/5*h**2 + 0 - 24/5*h**3 = 0.
-2, 0
Let t = -5/187 + 207/748. Let d be (-5)/(-30)*6*2/8. Factor 0*b - t + d*b**2.
(b - 1)*(b + 1)/4
Let y(r) be the second derivative of r**4/48 + 25*r**3/24 + 18*r**2 + 48*r - 3. Factor y(t).
(t + 9)*(t + 16)/4
Solve 33*w**5 + 64*w**2 + 154*w + 14*w**3 - 64*w**4 + 2*w**5 - 178*w - 25*w**5 = 0.
-1, 0, 2/5, 1, 6
Solve -15/4*a**4 - 3/4*a**5 + 51/4*a**2 + 27/4*a**3 - 6*a - 9 = 0.
-6, -1, 1, 2
Let u(j) be the third derivative of -13/72*j**4 - 169/36*j**3 - 1/360*j**5 - 17*j + 0 + 4*j**2. Find n such that u(n) = 0.
-13
Let d(h) = -15*h**4 + 36*h**3 + 45*h**2 - 102*h - 18. Let a(k) = -2*k**4 - k**3 - k**2 - 2*k - 3. Let q(t) = -6*a(t) + d(t). Let q(v) = 0. What is v?
-2, 0, 1, 15
Let s be 9/21 + 1852/7. What is v in 9*v - 6 + 265*v**2 - 3*v**3 - s*v**2 = 0?
-2, 1
Let a = 673/372 + -2993/1860. Determine t so that 0 + a*t**3 + 6/5*t**2 + 8/5*t = 0.
-4, -2, 0
Let w be 77/14 - (-2)/4. Let q be (w/18)/((-4)/(-24)). Factor 0*v + 3*v**q + v - v - 6*v.
3*v*(v - 2)
Let f(q) = -40*q**2 - 420*q + 3440. Let l(p) = 63*p**2 + 630*p - 5161. Let x(w) = -8*f(w) - 5*l(w). Determine y, given that x(y) = 0.
-49, 7
Let b(g) be the first derivative of -4/3*g**3 + 1/2*g**2 + 25 + 2*g + 2/5*g**5 + 1/6*g**6 - 1/2*g**4. Factor b(j).
(j - 1)**2*(j + 1)**2*(j + 2)
Let w(m) be the first derivative of -m**5/5 - 85*m**4/4 - 643*m**3 - 5207*m**2/2 - 3362*m - 1686. Factor w(z).
-(z + 1)*(z + 2)*(z + 41)**2
Let r(h) be the third derivative of -h**6/300 - 497*h**5/75 + 199*h**4/12 - h**2 - 74*h + 2. Determine i, given that r(i) = 0.
-995, 0, 1
Let v = 551 - -325. Let 32 - v*g**2 + 871*g**2 + 13 = 0. Calculate g.
-3, 3
Let v = 167416 + -167411. Determine d so that 9/2*d + 63/4*d**3 + 27/4*d**4 + 3/4*d**v + 0 + 57/4*d**2 = 0.
-6, -1, 0
Let n(s) = -6*s**2 - 28*s + 13*s**2 - 3*s**2 + 4