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Suppose -5*n + 4*p - 2*p = -236, 0 = -2*n - p + 89. Suppose a - 74 = n. What is f in 3*f - 5*f - a*f**3 - 4*f - 44*f**4 - 31*f**4 + 57*f**2 = 0?
-2, 0, 1/5
Let f(u) = -15*u**3 - 21965*u**2 - 16074730*u - 3922231695. Let v(k) = 7*k**3 + 10982*k**2 + 8037364*k + 1961115846. Let w(t) = -2*f(t) - 5*v(t). Factor w(y).
-5*(y + 732)**3
Let 2/17*d**2 + 40/17*d - 42/17 = 0. Calculate d.
-21, 1
Let n(x) = -x**2 - 654*x + 990. Let j(y) = 165*y - 249. Let z(q) = -18*j(q) - 4*n(q). Suppose z(d) = 0. Calculate d.
3/2, 87
Suppose 0*y - 1970 = -5*y. Let z = -6696/17 + y. Let -2/17*g - z*g**2 + 0 = 0. Calculate g.
-1, 0
Let c(w) = -3*w**2 - 7766*w - 15517. Let y be c(-2). Determine z so that -4*z**y + 140/3*z - 6*z**2 + 49 - 1/3*z**4 = 0.
-7, -1, 3
Let f(j) be the first derivative of -1/2*j**2 - 8/3*j**6 + 0*j + 2*j**3 + 3 - 24/5*j**5 - 1/4*j**4. Determine s so that f(s) = 0.
-1, 0, 1/4
Let y = 182 + -172. Factor -25*r**2 - y*r**2 + 35 + 270*r**3 - 265*r**3 - 5*r.
5*(r - 7)*(r - 1)*(r + 1)
Let d(h) be the second derivative of h**4/72 - 5*h**3/36 + 53*h - 4. Determine q, given that d(q) = 0.
0, 5
Let o = -11 + 11. Suppose 5*y + 43 - 58 = o. Let 0*d**3 - 22*d**2 + 37*d**2 + 3*d**y = 0. What is d?
-5, 0
Factor 3/2*b**3 + 0 - 66*b**2 + 126*b.
3*b*(b - 42)*(b - 2)/2
Suppose n = -0*s - s - 1, 0 = -n - 3*s - 11. Find h such that 85/6*h - 10/3*h**5 - 55/2*h**2 - 5/2 + 115/6*h**3 + 0*h**n = 0.
-3, 1/2, 1
Suppose 4*i - 24 = 0, -4*o - 4 = 3*o - 3*i. Find b such that 8*b + 1/2*b**3 + 1/2*b**5 + 0 + 3*b**4 - 12*b**o = 0.
-4, 0, 1
Let u(w) be the third derivative of -w**6/90 - w**5/5 + 8*w**4/3 + 25*w**3/6 - 74*w**2. Let g(q) be the first derivative of u(q). Factor g(o).
-4*(o - 2)*(o + 8)
Factor -12*r**3 - 32*r + 4/5*r**4 + 216/5*r**2 + 0.
4*r*(r - 10)*(r - 4)*(r - 1)/5
Let m(f) be the first derivative of -4*f**2 + 114 + 0*f - 1/4*f**4 + 2*f**3. Factor m(z).
-z*(z - 4)*(z - 2)
Factor 0 + 1/8*f**2 - 1/4*f.
f*(f - 2)/8
Let z(w) be the second derivative of 15*w + 2 - 7/13*w**2 - 5/13*w**3 - 3/26*w**4 - 1/130*w**5. Factor z(l).
-2*(l + 1)**2*(l + 7)/13
Suppose -27 = 69*h - 72*h. Suppose -v + 11 = h. Let -15 + 5*y**v + 5 + 50*y - 45*y = 0. Calculate y.
-2, 1
Let c(w) be the first derivative of w**3/3 - 273*w**2/2 + 272*w + 4484. Factor c(h).
(h - 272)*(h - 1)
Let g(b) be the first derivative of -b**5/35 - 59*b**4/28 + 149*b**3/7 - 981*b**2/14 + 594*b/7 + 10043. Factor g(i).
-(i - 3)**2*(i - 1)*(i + 66)/7
Let w(s) be the third derivative of -s**7/10080 - 29*s**6/2880 - 9*s**5/80 + 2*s**4/3 - 39*s**2 - 2. Let j(q) be the second derivative of w(q). Factor j(k).
-(k + 2)*(k + 27)/4
Find x, given that 5*x**3 - 350*x - 2086 + 1192 + 1574 - 335*x**2 = 0.
-2, 1, 68
Let r(t) = -7*t**3 + 16*t**2 + 16*t - 1. Let v be r(-1). Suppose -1/2*j**3 - v*j - 5*j**2 + 36 = 0. Calculate j.
-6, 2
Let v = -93 - -86. Let n be (v/(-7))/((-12)/(-18)). Factor 5/2*k**2 - k - n*k**3 + 1/2*k**5 + 0 - 1/2*k**4.
k*(k - 1)**3*(k + 2)/2
Let o(g) be the third derivative of g**6/24 + 41*g**5/12 - 2544*g**2. Factor o(w).
5*w**2*(w + 41)
Let y(c) be the second derivative of c**4/120 - 1487*c**3/30 - 9*c - 472. Let y(i) = 0. What is i?
0, 2974
Suppose 63*f + 3 = 60*f. Let q(l) = -l**3 + l**2 + l - 1. Let u(y) = -8*y**3 + 20*y**2 + 8*y - 20. Let c(s) = f*u(s) + 4*q(s). Factor c(j).
4*(j - 4)*(j - 1)*(j + 1)
Let v = 125374 - 125370. Find x, given that -2/11*x**v - 8/11*x**2 + 0*x + 0 - 10/11*x**3 = 0.
-4, -1, 0
Let l be (48/(-196))/(8/(-56)). Let u(b) be the first derivative of -6/7*b**4 - 4/35*b**5 + 36/7*b - 32/21*b**3 - 2 + l*b**2. What is z in u(z) = 0?
-3, -1, 1
Suppose 35*a**2 + 37*a - 107*a + 40 + 99315*a**3 - 99320*a**3 = 0. Calculate a.
1, 2, 4
Suppose -17*q - 3*z = -16*q + 815, 2*z - 4007 = 5*q. Let n = -798 - q. Let 9/2*u**3 + 3*u**4 - 3/2*u**n + 0 + 6*u - 12*u**2 = 0. Calculate u.
-2, 0, 1, 2
Suppose -383546 - 2*y**2 + 2591*y - 839*y - 104885 + 104743 = 0. What is y?
438
Let h = 3427 - 150819/44. Let s = 49/11 + h. Suppose -33/4*w - 3/4*w**3 - s - 21/4*w**2 = 0. What is w?
-5, -1
What is p in -1/3*p**2 - 2/3*p**3 + 7/3*p + 2 = 0?
-3/2, -1, 2
Let m(v) be the first derivative of 2*v**7/315 + v**6/360 - v**5/60 - 37*v**2 + 64. Let a(g) be the second derivative of m(g). Solve a(i) = 0 for i.
-1, 0, 3/4
Let z(m) be the second derivative of 0 + 84*m - 7/6*m**2 - 1/8*m**4 - 65/36*m**3. Factor z(w).
-(w + 7)*(9*w + 2)/6
Let m(u) be the second derivative of u**5/70 - 5*u**4/21 + 16*u**3/21 - 85*u - 6. Factor m(h).
2*h*(h - 8)*(h - 2)/7
Suppose -170 = -7*r + 12*r. Let t = 37 + r. Let -2*m**5 + 4*m**4 + 2*m**t - 4*m**5 + 5*m**2 - 5*m**2 = 0. What is m?
-1/3, 0, 1
Let k(s) be the first derivative of 7/3*s + 1/9*s**3 - 4/3*s**2 + 110. Suppose k(j) = 0. Calculate j.
1, 7
Let o = -531 + 510. Let t be (-3)/(-6)*(o + 21). Find a such that 0*a + 1/2*a**4 - 1/5*a**3 + 7/10*a**5 + 0*a**2 + t = 0.
-1, 0, 2/7
Let o(v) be the third derivative of 3*v**7/350 - 7*v**6/50 + 87*v**5/100 - 49*v**4/20 + 12*v**3/5 + 1115*v**2. Suppose o(m) = 0. Calculate m.
1/3, 2, 3, 4
Suppose 4*z + 4*f - 20568 = 0, -2*f = -0*f + 4. Factor 5159*j - 15*j**3 + 20 - z*j + 5*j**4 + 0*j**3 - 25*j**2.
5*(j - 4)*(j - 1)*(j + 1)**2
Suppose -303*v + 2372 - 3*v**3 + 204*v**2 - 1420 - 1185*v + 1928 = 0. Calculate v.
4, 60
Let o(p) be the second derivative of 8*p**7/21 - 58*p**6/15 + 39*p**5/5 + 56*p**4/3 - 32*p**3/3 - p - 116. Find v, given that o(v) = 0.
-1, 0, 1/4, 4
Suppose 426*m = 382*m + 220. Let w(k) be the second derivative of -23*k - 2/3*k**3 + m*k**2 + 1/30*k**4 + 0. Find x such that w(x) = 0.
5
Factor -11*i**2 - 13*i + 852*i**4 - 851*i**4 + 219 - 5*i - 227.
(i - 4)*(i + 1)**2*(i + 2)
Let b(q) be the first derivative of 5*q**4/4 + 20*q**3 + 235*q**2/2 + 300*q + 9942. Find p, given that b(p) = 0.
-5, -4, -3
Let c = 648/7 + -92. Suppose 321*l - 2*b = 316*l + 3, 2*b - 27 = -5*l. Solve 0 + c*m - 2*m**2 + 8/7*m**4 + 8/7*m**l = 0.
-2, 0, 1/2
Let x = 359 - 295. Factor 54*u**3 - 2*u**3 - 24*u**3 + x*u**2 + 16*u.
4*u*(u + 2)*(7*u + 2)
Let g(a) be the first derivative of 5*a**4/16 + 10*a**3 + 770. Find z such that g(z) = 0.
-24, 0
Let d(x) be the first derivative of -x**3/2 - 141*x**2/4 + 1062*x - 4127. Factor d(s).
-3*(s - 12)*(s + 59)/2
Let a(l) be the first derivative of -l**4/14 + 5732*l**3/7 - 24641868*l**2/7 + 47082395792*l/7 - 5993. Solve a(h) = 0.
2866
Let z = -668527/3 + 222843. Factor 0*g**2 + z*g**5 - 8/3*g**4 + 0 - 10/3*g**3 + 0*g.
2*g**3*(g - 5)*(g + 1)/3
Let h(g) = 101*g**2 + 53*g + 7. Let n(u) = -304*u**2 - 172*u - 22. Let l(v) = 14*h(v) + 5*n(v). Determine p, given that l(p) = 0.
-1, -6/53
Find d such that 2/7*d**2 - 334/7*d + 276 = 0.
6, 161
Suppose 447*d**3 + 0 - 3/2*d**5 + 480*d**2 + 0*d - 69/2*d**4 = 0. Calculate d.
-32, -1, 0, 10
Solve 129*p**3 - 47*p**3 + 1271*p**2 + 482*p + 56 - 298*p**2 - 18*p**4 - 15*p**4 = 0.
-4, -1/3, -2/11, 7
Let a(p) be the first derivative of -3*p**5/5 + 315*p**4/4 - 103*p**3 - 315*p**2/2 + 312*p - 3191. Let a(k) = 0. Calculate k.
-1, 1, 104
Factor -4185*i + 651*i**3 - 5*i**4 + 705*i**2 - 626*i**3 - 3673 + 0*i**4 - 1187.
-5*(i - 9)**2*(i + 1)*(i + 12)
Let n be 12*9/72 - (-1)/2. Factor 6*s - 3*s**n + 0*s**2 + 22*s + 14*s.
-3*s*(s - 14)
Let m be (-50)/20*12/10 - -48. Find j, given that 46*j**4 - 96*j**4 + 40*j**2 + 90*j + m + 45*j**4 - 10*j**3 = 0.
-3, -1, 3
Let q(y) be the second derivative of y**4 + 0 - 52*y - 18*y**2 + 47/2*y**3. Factor q(m).
3*(m + 12)*(4*m - 1)
Suppose 163 = -16*y + 195. Factor 3*f**4 + 79*f**2 - f**5 - 3*f**3 - 155*f**2 + 77*f**y.
-f**2*(f - 1)**3
Suppose -12*i + 9 = -3*i. Let s be i/(-8) + 47/94. What is y in 1/2*y + 1/8*y**2 + s = 0?
-3, -1
Factor 1880/11 + 936/11*q - 2/11*q**2.
-2*(q - 470)*(q + 2)/11
Let p(s) be the second derivative of 17/4*s**4 + 0 - 91*s + 3/10*s**6 - 2*s**3 + 0*s**2 - 12/5*s**5. Solve p(h) = 0 for h.
0, 1/3, 1, 4
Suppose 3*l = 5*b - 2*l - 25, -4*l - 20 = -b. Suppose 0*x + 8*x - 16 = b. Let i**5 + i**3 + x*i**5 - 135*i + 6*i**2 - 13*i**3 + 144*i - 6 = 0. What is i?
-2, -1, 1
Let w(c) be the second derivative of c**6/210 + 69*c**5/35 + 9383*c**4/42 - 6394*c**3/7 + 19321*c**2/14 + 1229*c. Factor w(y).
(y - 1)**2*(y + 139)**2/7
Let o(l) be the third derivative of -l**8/30240 - l**7/7560 + l**6/180 + 17*l**5/30 - 9*l**2. Let z(r) be the third derivative of o(r). Factor z(