 - 1969 + 4631*s**2 = 0.
4, 187
Let l(o) be the first derivative of 3/2*o + 9/16*o**2 - 50 - 1/8*o**3. Factor l(v).
-3*(v - 4)*(v + 1)/8
Let f be 16/32*(-14)/(-4). Suppose 0 = 49*o - 91 - 7. Solve -o - 1/4*t**3 - 7/2*t - f*t**2 = 0 for t.
-4, -2, -1
Let v = 145 + -140. Factor -2*c**2 + 63*c - 6*c**2 - 2*c**2 - 68*c - v*c**3.
-5*c*(c + 1)**2
Let -20*p + 1/4*p**3 + 144 - 7/4*p**2 = 0. Calculate p.
-9, 8
Let j(l) = -3*l**2 + l - 1. Let n(z) = -z**3 + 46*z**2 + 210*z + 158. Let m(c) = -j(c) + n(c). Find d, given that m(d) = 0.
-3, -1, 53
Let p be (-520)/624 - (-156835)/5199. Let n = 1/3466 + p. Factor 4/3*q**2 + n*q + 484/3.
4*(q + 11)**2/3
Let x(r) = 43*r**3 + 2100*r**2 - 2218*r - 15. Let i(j) = 6*j**3 + 300*j**2 - 316*j - 2. Let v(n) = 15*i(n) - 2*x(n). Factor v(w).
4*w*(w - 1)*(w + 76)
Suppose 3190*f + 5/3*f**2 + 1526415 = 0. What is f?
-957
Let q = 824402 - 824400. Suppose 0*k = k. Let 9/4*s**3 + k - 3/4*s**q - 3/2*s + 3/4*s**4 - 3/4*s**5 = 0. What is s?
-1, 0, 1, 2
Let o(a) = 0*a + 267*a**2 + 0*a - 266*a**2. Let i(h) = 9*h**2 + 2*h. Let c(v) = v + 7. Let m be c(-5). Let n(j) = m*i(j) - 22*o(j). Factor n(l).
-4*l*(l - 1)
Factor 8/3*y**2 + 50/3*y - 56/3 - 2/3*y**3.
-2*(y - 7)*(y - 1)*(y + 4)/3
Solve -2/5*a**4 - 64/5*a - 4*a**3 - 58/5*a**2 - 24/5 = 0.
-6, -2, -1
Let q(c) be the third derivative of 0*c**3 + 0 - 2/45*c**7 - 34*c**2 - 8/45*c**6 - 11/45*c**5 - 1/9*c**4 + 0*c. Find y such that q(y) = 0.
-1, -2/7, 0
Let p(h) = -h**3 + 355*h**2 - 697*h - 3175. Let l be p(353). Let 8/9 + 2/9*k - 8/9*k**l - 2/9*k**3 = 0. Calculate k.
-4, -1, 1
What is w in -32*w**2 - 65*w - 98/3 + 1/3*w**3 = 0?
-1, 98
Factor -33125/2*x + 3825/4*x**2 + 15625 + 1/8*x**4 - 151/8*x**3.
(x - 50)**3*(x - 1)/8
Let i(d) = d**2 + d - 8. Let s(x) = -4*x**2 - 4*x + 24. Suppose 7*v - 5*v = 28. Let n(r) = -2*r + 25. Let w be n(v). Let g(f) = w*s(f) - 8*i(f). Solve g(u) = 0.
-2, 1
Find c such that 260 - 4*c + 4/9*c**3 - 260/9*c**2 = 0.
-3, 3, 65
Let w(a) = -5*a**3 - 61*a**2 - 11*a + 15. Let g be w(-12). Let i(c) be the first derivative of 0*c + 1/2*c**2 + 1/3*c**3 + g. Let i(v) = 0. What is v?
-1, 0
Let n(w) be the second derivative of -w**4/90 - 1058*w**3/15 - 839523*w**2/5 - 3755*w. Find j, given that n(j) = 0.
-1587
Suppose 478 + 281 = 23*v. Suppose v*r = 18*r + 45. Factor 0*c + 1/5*c**2 + 1/5*c**r + 0.
c**2*(c + 1)/5
Factor -17*h - 1/3*h**2 + 220/3.
-(h - 4)*(h + 55)/3
Let i(l) = -2*l**2 - 24*l + 59. Let k(h) = h**2 + 12*h - 29. Let a(n) = -3*i(n) - 7*k(n). Let b be a(-13). Factor 3*t + b*t**2 - 5*t**3 - 3*t**2 - 8*t.
-5*t*(t - 1)**2
Let n(f) be the first derivative of -f**4 - 856*f**3/3 + 864*f**2 + 2418. Determine l, given that n(l) = 0.
-216, 0, 2
Suppose 167/2*r**3 - 4 - 33/2*r**4 + 74*r - 137*r**2 = 0. What is r?
2/33, 1, 2
Let q = -114225 - -114228. Suppose 3*c**2 - 15/4*c + 9/4*c**q - 3/2 = 0. Calculate c.
-2, -1/3, 1
Let p = 160 - 84. Let w be ((-5)/2)/(-2 - p/(-40)). Determine t so that w + 3*t - 3*t**2 - 25 = 0.
0, 1
Let -102 - 120*c**3 - 123*c**3 + 15*c**4 + 707371*c**2 + 567*c - 707608*c**2 = 0. What is c?
-2, 1/5, 1, 17
Suppose 0 = d - 5*g - 23, -10*d + 3 = -5*d + 3*g. Suppose 0 = d*f + 21*j - 16*j - 25, -f = -3*j + 15. Factor 2/9*o**4 + f*o - 4/9*o**3 + 2/9*o**2 + 0.
2*o**2*(o - 1)**2/9
What is w in 554/5 + 1/5*w**2 - 279/5*w = 0?
2, 277
Suppose -113*m = 117*m - 186*m - 176. Determine o so that -2/5*o**3 + 0 + 1/5*o**m + 0*o - 3/5*o**2 = 0.
-1, 0, 3
Suppose 1092*i - 3219*i + 1125*i + 1096*i = 376. Factor -27/4*v**3 + 3/4*v**i + 9/2 - 57/4*v + 63/4*v**2.
3*(v - 6)*(v - 1)**3/4
Determine f, given that -6/5*f**3 + 472/5*f - 38*f**2 - 136/5 = 0.
-34, 1/3, 2
Let m(n) be the third derivative of n**5/135 - 1540*n**4/27 + 4743200*n**3/27 + 7*n**2 + 12*n - 4. Solve m(k) = 0.
1540
Suppose -3340*j - 48 = -3352*j. Let o(l) be the third derivative of 0 + 8/3*l**3 - 1/15*l**5 - 1/2*l**j + 0*l - 35*l**2. Factor o(a).
-4*(a - 1)*(a + 4)
Let f(a) = 56*a**3 - 19670*a**2 - 39538*a - 19842. Let s(j) = 13*j**3 - 4539*j**2 - 9124*j - 4579. Let t(o) = -14*f(o) + 60*s(o). Factor t(c).
-4*(c - 762)*(c + 1)**2
Let s = 151 - -34. Suppose -244 = -108*p + 80. Factor -2*z**4 - 185*z**3 + z**4 + z**5 + s*z**p.
z**4*(z - 1)
Suppose -o + 2084 = -0*o - 3*x, o - 2*x - 2085 = 0. Let u = o - 2087. Factor 2/7*h**2 + 6/7*h + u.
2*h*(h + 3)/7
Suppose 13 = -z + 16. Factor -5*k**z + k**3 + 72 - 91*k - 25*k + 48*k**2.
-4*(k - 9)*(k - 2)*(k - 1)
Let m = -931547/7 - -133079. Suppose 0 - 4/7*j**5 - 4/7*j**2 + 0*j + 6/7*j**4 + m*j**3 = 0. Calculate j.
-1, 0, 1/2, 2
Factor 1085/3*d - 25 + 220/3*d**2.
5*(d + 5)*(44*d - 3)/3
Determine t, given that -25488*t - 5357 - 30*t**4 - 2419 + 78*t**4 + 157*t**4 + 7*t**5 + 3272*t**3 + 77*t**4 + 6960*t**2 = 0.
-18, -6, -2/7, 2
Let y(p) be the third derivative of 1/3*p**4 + 0*p + 1/30*p**5 - 1/60*p**6 - 4/3*p**3 + 1 + 41*p**2. Factor y(w).
-2*(w - 2)*(w - 1)*(w + 2)
Let h(f) be the second derivative of -f**7/11340 + 41*f**6/3240 - 2*f**5/27 - 10*f**4/3 + 41*f - 1. Let n(d) be the third derivative of h(d). Solve n(p) = 0.
1, 40
Let d(u) be the first derivative of 0*u + 1/12*u**6 + 46 - 2/3*u**3 + 1/10*u**5 + 0*u**2 - 1/2*u**4. Factor d(f).
f**2*(f - 2)*(f + 1)*(f + 2)/2
Let g(m) be the third derivative of -m**9/105840 - 13*m**4/8 - 20*m**2 + 2. Let h(z) be the second derivative of g(z). Find j such that h(j) = 0.
0
Let a = 2979496/133 - 22402. Let j = -47/798 + a. Find g such that -27/2 + 33/2*g + j*g**3 - 19/6*g**2 = 0.
1, 9
Let g(r) = -r**3 + 17*r**2 - 275*r + 4144. Let h be g(16). Factor h*w - 3/2*w**2 - 5/4*w**3 + 1/4*w**4 + 0.
w**2*(w - 6)*(w + 1)/4
Suppose -130*a - 639 = -67*a - 276*a. What is h in -1/4*h**5 + 7/4*h**a - 2 + 1/2*h**2 + 0*h**4 - 3*h = 0?
-2, -1, 2
Let s(f) = 36*f**5 - 123*f**4 + 112*f**3 - 32*f**2 + 3*f + 3. Let c be (6 - 8 - 3)*(-1)/(-5). Let l(j) = j**4 - j - 1. Let d(w) = c*s(w) - 3*l(w). Factor d(y).
-4*y**2*(y - 2)*(3*y - 2)**2
Find h such that 496/9 - 380/9*h + 2/3*h**2 = 0.
4/3, 62
Let g(f) be the first derivative of 5*f**6/6 - 4*f**5 + 25*f**4/4 - 10*f**3/3 - 1795. Suppose g(w) = 0. What is w?
0, 1, 2
Let q(m) be the second derivative of -5/2*m**3 - 75*m - 70*m**2 + 5/12*m**4 + 0. Find p, given that q(p) = 0.
-4, 7
Let s(f) be the first derivative of 8*f**2 - 4/5*f**5 + 142 - 4*f - 8*f**3 + 4*f**4. Solve s(l) = 0 for l.
1
Let a(j) be the second derivative of 12 + 2*j + 245*j**2 + 1/30*j**4 - 14/3*j**3. Factor a(k).
2*(k - 35)**2/5
Let h(l) be the third derivative of 7/8*l**4 + 0 + 0*l - 17/180*l**5 + 1/360*l**6 + 9/2*l**3 + 207*l**2. Solve h(g) = 0.
-1, 9
Let w be (0 + (-18)/4)/(6/(-12)). Determine v, given that -35*v**4 + v**3 - w*v**3 - 2*v**3 - 10*v**4 = 0.
-2/9, 0
Suppose -48/7*l**2 + 20/7*l + 0 = 0. Calculate l.
0, 5/12
Suppose 0 = 5*z + 25, -2*k - 5*z + 0*z = 5. Suppose -4*x + 15 = 5*m + x, 4*x - k = -3*m. What is w in -4*w**m + 18*w + 24 - 8 - 2*w - 8*w**3 + 4*w**3 = 0?
-2, -1, 2
Suppose 0 = -2*i + 3*n + 11, 0*i = -3*i - 5*n + 7. Let b be (1/i)/(-1) - (-13)/4. Suppose -82*l**b + 4*l**4 + 78*l**3 + 0*l + 0*l = 0. Calculate l.
0, 1
Let n = -132 - -136. Factor t**5 - 59*t**3 - 33*t**2 - 6*t**5 - 51*t**n + 2*t**5 + 12*t**4 - 10*t**3.
-3*t**2*(t + 1)**2*(t + 11)
Let a(i) = 22*i**2 + 6*i - 26. Let j(x) = 2*x - x**2 + 5 + 0*x - x**3 - 6 + 2*x**3. Let w(z) = -2*a(z) + 4*j(z). Factor w(v).
4*(v - 12)*(v - 1)*(v + 1)
Let s(x) = -7 + x**2 - 1 + x - 6 + x**3 + 19 - 6. Let f(y) = 21*y**3 + 25*y**2 + 7*y - 3. Let w(d) = -f(d) + 3*s(d). Factor w(v).
-2*v*(v + 1)*(9*v + 2)
Let o(d) = 22*d - 1164. Let c be o(53). Let s(y) be the second derivative of 8*y + 1/39*y**3 - 1/78*y**4 + 0 + 3/65*y**6 - 9/130*y**5 + 0*y**c. Solve s(w) = 0.
-1/3, 0, 1/3, 1
Let l(c) = 2*c**2 - c - 1. Let z(r) = -9*r**2 + 4439*r + 4915094. Let k(u) = 15*l(u) + 3*z(u). Find x, given that k(x) = 0.
-2217
Let p = 209 - 119. Determine y, given that -19*y + 5*y**2 + p*y - 35*y - 21*y = 0.
-3, 0
Let i(b) = 1 + 4*b - 8 + 2*b**3 + 8 - 11*b. Let o be i(2). Factor 122*a - 122*a - 3*a**o - 3*a**4.
-3*a**3*(a + 1)
Factor 720/7 - 246/7*z + 2/7*z**2.
2*(z - 120)*(z - 3)/7
Let t(v) be the third derivative of 17*v**8/336 + 4*v**7/21 + 13*v**6/72 - v**5/12 + v**3 + 12*v**2 + 2. Let o(j) be the first derivative of t(j). Factor o(r).
5*r*(r + 1)**2*(17*r - 2)
Let l be 6/(-20) + (-32)/((-7040)/231). Let