k**3/3 + 617. What is c in r(c) = 0?
-5, 0, 2, 3
Let l = 143303/110410 + 23/11041. Find r, given that -2*r - 6/5 + l*r**2 = 0.
-6/13, 2
Let q = -379662 + 379664. Suppose -24/5*d - 2/5*d**3 + 13/5*d**q + 9/5 = 0. What is d?
1/2, 3
Let c be 2*(-72)/32*10/(-3). Suppose -31 = -23*f + c. Determine g so that -2/5*g**f + 2/5*g**4 + 6/5*g**3 + 0*g + 0 - 6/5*g**5 = 0.
-1, 0, 1/3, 1
Determine x so that 0 - 2/9*x**3 + 208/9*x**2 - 5408/9*x = 0.
0, 52
Let y(x) be the second derivative of x**6/660 + x**5/55 + 2*x**4/33 + 47*x**2 + 53*x. Let l(s) be the first derivative of y(s). Suppose l(h) = 0. Calculate h.
-4, -2, 0
Let -99/4*t - 1/4*t**2 - 49/2 = 0. What is t?
-98, -1
Suppose 2*x = 4*l + 48 - 210, 0 = 5*l - 3*x - 200. Factor -95 - 25*v**2 + 52 + l + 20*v + 5*v**3.
5*v*(v - 4)*(v - 1)
Let q be 2496/1040*(-5)/(-2). Let l(d) be the third derivative of 0 + 0*d + 0*d**3 - 3*d**2 + 1/105*d**5 - 1/210*d**q + 0*d**4. Solve l(p) = 0.
0, 1
Let n(t) be the first derivative of -54*t**6 + 4032*t**5/5 + 779*t**4 - 3464*t**3 + 1992*t**2 - 416*t - 5089. Solve n(g) = 0.
-2, 2/9, 1, 13
Let b(z) be the third derivative of z**6/24 - 139*z**5/20 - 127*z**4/12 + 28*z**3 - 659*z**2. Factor b(l).
(l - 84)*(l + 1)*(5*l - 2)
Factor 0 - 1/2*s**3 - 137/2*s**2 - 201*s.
-s*(s + 3)*(s + 134)/2
Let a(x) = -185*x + 170. Let v be a(10). Let m = 3361/2 + v. What is p in -4*p - 3/2 + m*p**4 + 0*p**3 - 3*p**2 = 0?
-1, 3
Let w be (26151/414)/379 - 2*(-10082)/48. Factor 1/4*r**2 - 41/2*r + w.
(r - 41)**2/4
Factor 25 + 5/2*i**2 - 55/2*i.
5*(i - 10)*(i - 1)/2
What is q in -352/3*q**2 - 452/9*q**3 - 8*q**4 + 192 - 4/9*q**5 - 16*q = 0?
-6, -4, -3, 1
Let k(n) be the first derivative of -9/10*n**5 - 8064*n**2 - 1104*n**3 + 145 - 213/4*n**4 + 12288*n. Find o, given that k(o) = 0.
-16, 2/3
Let l(n) be the third derivative of 0*n - 3/2*n**4 + 3 - 36*n**3 + n**2 + 1/2*n**5 - 1/40*n**6. Factor l(t).
-3*(t - 6)**2*(t + 2)
Factor 2/7*z**3 + 360/7 - 366/7*z + 4/7*z**2.
2*(z - 12)*(z - 1)*(z + 15)/7
Let 0 + 0*t + 2/9*t**4 + 0*t**2 + 706/3*t**3 = 0. Calculate t.
-1059, 0
Let h(c) be the first derivative of -59*c**3/2 + 90*c**2 - 6*c - 5499. Suppose h(x) = 0. Calculate x.
2/59, 2
Let v = -5/9934 + 134129/39736. Factor -v*c + 3/8*c**2 + 0.
3*c*(c - 9)/8
Let y = 1584166 + -6336663/4. Solve 1/2*n - y*n**2 + 15/4 = 0 for n.
-3, 5
Suppose -55 = -9*n + 233. Suppose -n*o = -12 - 148. Factor 0*v + 4/7*v**o + 0*v**2 + 0*v**3 - 4/7*v**4 + 0.
4*v**4*(v - 1)/7
Let c be (1/2)/(-15*(-25)/3750). Let n be ((-3)/(-9))/(3/36). Factor 2/7*x**2 + 2/7*x**c + 0 + 0*x - 2/7*x**n - 2/7*x**3.
2*x**2*(x - 1)**2*(x + 1)/7
Let h(z) be the first derivative of z**6/14 - 48*z**5/7 + 1314*z**4/7 - 6080*z**3/7 + 8664*z**2/7 + 466. Factor h(a).
3*a*(a - 38)**2*(a - 2)**2/7
Suppose -19*l + 39*l - 60 = 0. Determine r so that 31*r**2 + 59*r + 48 + 3*r**l + 40*r + 23*r**2 = 0.
-16, -1
Let o(d) = 13*d**2 - 79*d + 593. Suppose 50 = 93*u - 103*u. Let c(b) = 63*b**2 - 396*b + 2964. Let m(k) = u*c(k) + 24*o(k). Find h such that m(h) = 0.
14
Let b be (0/(10 - -3))/(2/(-5 - -7)). Factor 1/3*f**5 + b*f - 8/3*f**2 + 0 + 17/3*f**3 - 10/3*f**4.
f**2*(f - 8)*(f - 1)**2/3
Let g(v) be the second derivative of v**4/60 - 32*v**3/15 - 13*v**2/2 - v + 3172. Factor g(r).
(r - 65)*(r + 1)/5
Suppose -2*p + 16 = 4*s, p - 14 + 2 = -3*s. Let d = -157 - -161. Let 4*l**3 + 28*l**d - 30*l**s - l**2 + l**2 = 0. What is l?
0, 2
Let b(c) be the first derivative of 3*c**5/35 + 19*c**4/28 - 29*c**3/14 + 9*c**2/7 + 205*c + 258. Let k(l) be the first derivative of b(l). Factor k(y).
3*(y - 1)*(y + 6)*(4*y - 1)/7
Let b(a) be the second derivative of a**4/36 + 358*a**3/9 + 64082*a**2/3 - 647*a. What is k in b(k) = 0?
-358
Solve -106/3*n + 1/6*n**4 - 40 + 11/6*n**3 - 14/3*n**2 = 0.
-12, -2, 5
Let l be (-14)/60 + 1255/(-18825) + (-2)/(20/(-23)). Let -56/9 + 8/3*q + 2/9*q**l = 0. What is q?
-14, 2
Let g(j) be the second derivative of 11/6*j**3 + 1/60*j**5 + 1/24*j**4 + 0 + 0*j**2 + 1/360*j**6 - 3*j. Let h(b) be the second derivative of g(b). Factor h(u).
(u + 1)**2
Let v = -106 + 106. Suppose -4*b + v*b = -16. Find w, given that -24*w**2 + 4*w**2 + 15*w + w**3 + b*w**3 = 0.
0, 1, 3
Suppose -5*b + 12 = -3*c, 9 = -b + 4*c + 8. Factor -181*r - 230 + 128 - 42*r**2 + 34*r + b*r**3.
3*(r - 17)*(r + 1)*(r + 2)
Factor 3/4*d**4 + 1/4*d**3 - 1/2*d - 3/4*d**2 + 1/4*d**5 + 0.
d*(d - 1)*(d + 1)**2*(d + 2)/4
Let t = -3/494 - -3863/66690. Let d = 727/135 - t. Factor -4/3 + d*b - 25/3*b**2 + 19/3*b**3 + 1/3*b**5 - 7/3*b**4.
(b - 2)**2*(b - 1)**3/3
Let u(r) be the first derivative of 2*r**5/25 + 16*r**4/5 - 2*r**3/5 - 94*r**2/5 + 128*r/5 + 978. Determine a, given that u(a) = 0.
-32, -2, 1
What is n in 177*n**4 - 61*n**4 + 26460*n**2 - 113*n**4 - 552*n**3 - 97200*n = 0?
0, 4, 90
Let f be 1 - 5*1/9. Suppose 143 = 73*r - 3. Factor -4/9*q + 0*q**r + f*q**3 + 2/9*q**4 - 2/9.
2*(q - 1)*(q + 1)**3/9
Let t(c) = -9*c**2 - 117*c + 36. Let n(p) = 17*p**2 + 220*p - 72. Let m(j) = -6*n(j) - 11*t(j). Suppose m(v) = 0. What is v?
-12, 1
Factor -791*g + 1/2*g**2 + 625681/2.
(g - 791)**2/2
Suppose 6*f - 3 = 123. Let n(l) be the first derivative of 2*l**3 + 107*l - l**3 + 256*l - f - 17*l**2 - 16*l**2. Factor n(x).
3*(x - 11)**2
Let c(g) = 1 - 7*g**2 + g + 8*g**2 + 6*g - 2*g**2. Let h be c(3). Factor h*p**4 + 27 - 16*p**4 + 12*p**3 - 6*p**2 - 36*p + 6*p**4 + 0*p**3.
3*(p - 1)**2*(p + 3)**2
Let y(a) = -a**2 - 3*a - 5. Let u(m) = 2*m**3 - 181*m**2 + 191*m + 15. Let p(n) = u(n) + 3*y(n). Factor p(x).
2*x*(x - 91)*(x - 1)
Let w(c) be the second derivative of -c**6/150 - 7*c**5/50 - c**4 - 5*c**3/3 + 25*c**2/2 - 1326*c - 1. Factor w(t).
-(t - 1)*(t + 5)**3/5
Let n(r) be the third derivative of -r**6/180 + 161*r**5/15 - 6507*r**4 + 464648*r**3/9 - 4*r**2 + 26*r. Factor n(h).
-2*(h - 482)**2*(h - 2)/3
Let q be (-2)/((-9)/(-36) + 58/(-296)). Let r = q - -45. Factor -3*f**3 + r*f - 2*f**2 - f**2 + 3 - 5*f.
-3*(f - 1)*(f + 1)**2
Suppose -s + 5*s = -n + 17, 2*n - 4*s = -26. Let h = 0 - n. Find f such that 1/2*f**2 - 1/4*f**h + 1/4*f - 1/2 = 0.
-1, 1, 2
Let k = -172 - -222. Factor -4*d**4 + 9*d**4 - k - 55*d**3 + 55*d + 188*d**2 - 96*d**2 - 47*d**2.
5*(d - 10)*(d - 1)**2*(d + 1)
Let r = -167156 - -334319/2. Factor 0 - 1/2*z**5 - r*z**4 - 9*z**3 - 10*z**2 - 4*z.
-z*(z + 1)*(z + 2)**3/2
Let b(d) be the second derivative of d**5/25 + 82*d**4/5 + 10086*d**3/5 - 3*d - 137. Determine s, given that b(s) = 0.
-123, 0
Let w(f) be the first derivative of 8*f**6/3 + 124*f**5/5 + 28*f**4 - 108*f**3 + 36*f**2 - 2519. Let w(x) = 0. Calculate x.
-6, -3, 0, 1/4, 1
Let p = 8813/3231 + 18/359. Let o(v) be the first derivative of -p*v**3 + 0*v - 7 + 5/3*v**4 + 5/6*v**2. Factor o(n).
5*n*(n - 1)*(4*n - 1)/3
Let b(i) be the third derivative of -i**2 + 0*i - 2/27*i**4 - 1/9*i**3 - 1/54*i**5 - 3. Factor b(r).
-2*(r + 1)*(5*r + 3)/9
Suppose l + 2 + 3 = 0. Let z(g) = g**3 + 4*g**2 - 7*g - 7. Let o be z(l). Suppose 2*k**2 - 3*k**o + 5*k**3 - k**3 + k**3 = 0. What is k?
-1, 0
Let i(p) = -26*p**3 - p**2 + 2. Let l be i(-1). Factor -75*x**2 + 126*x - l - 2 + 5 - 27*x**3.
-3*(x - 1)*(x + 4)*(9*x - 2)
Suppose 108 = 2*o + 2*o - f, -3*o = -4*f - 94. Suppose o*b = 2*b. Let -h**3 - 3/4*h**2 + 0 + b*h = 0. What is h?
-3/4, 0
Let y(h) = -4*h**3 - 250*h**2 + 1024*h - 1044. Let z(r) = -5*r**3 - 249*r**2 + 1020*r - 1046. Let c(g) = -3*y(g) + 2*z(g). Determine l so that c(l) = 0.
-130, 2
Factor 5808 - 501/4*f**2 + 9/2*f**3 + 3/4*f**4 - 396*f.
3*(f - 8)**2*(f + 11)**2/4
Let s(k) be the second derivative of -k**5/20 + 1007*k**4/12 + 1514*k**3/3 + 1010*k**2 + 5*k + 431. Determine q so that s(q) = 0.
-2, -1, 1010
Suppose -672 = 163*z - 166*z. Let b be ((-1)/(-2))/(z/512). Find v such that b*v + 20/7*v**2 + 4/7*v**3 - 32/7 = 0.
-4, -2, 1
Let t(q) be the second derivative of -q**7/105 - q**6/15 + q**5/6 - 85*q**2/2 + 25*q. Let o(g) be the first derivative of t(g). Solve o(b) = 0.
-5, 0, 1
Let 3284 - 22825*m - 2433*m**2 - 12607*m**2 + 12*m**3 + 20096*m - 23380 - 37447*m = 0. What is m?
-2, -2/3, 1256
Let 11/7*v**2 + 9225/7 + 1/7*v**3 - 1005/7*v = 0. What is v?
-41, 15
Let d(o) be the second derivative of 0*o**2 + 1/40*o**5 - 2 - 1/12*o**3 + 1/20*o**6 - 67*o - 1/8*o**4. Factor d(g).
g*(g - 1)*(g + 1)*(3*g + 1)/2
Find u such that -9*u**2 + 23 - 3*u**3 + 22 + 27*u + 20 - 101