/5*w = 0. What is w?
1, 8, 21
Let m(x) be the third derivative of -x**6/480 - x**5/16 + 9*x**4/2 - 248*x**3/3 - 7*x**2 - 20*x. Determine c so that m(c) = 0.
-31, 8
Let s(d) = 3*d**3 + 145*d**2 + 823*d + 877. Let k(c) = -6*c**3 - 291*c**2 - 1644*c - 1779. Let b(q) = 7*k(q) + 15*s(q). Factor b(y).
3*(y + 1)*(y + 6)*(y + 39)
Let -30*g**2 - 1/2*g**4 + 16*g**3 + 0*g + 0 = 0. Calculate g.
0, 2, 30
Let f = 12270 - 12270. Let g(j) be the third derivative of -1/60*j**5 + f*j**3 + 1/630*j**7 - 1/36*j**4 + 0 + 0*j + 0*j**6 + j**2. Find v, given that g(v) = 0.
-1, 0, 2
Let t(b) be the third derivative of b**5/80 + 109*b**4/16 - 12*b**2 - 33*b. Determine q, given that t(q) = 0.
-218, 0
Let q(b) be the first derivative of 21*b**3 - 20*b**2 - 90*b - 12. Let n(r) = -31*r**2 + 20*r + 45. Let x(m) = 13*n(m) + 6*q(m). Find c such that x(c) = 0.
-1, 9/5
Let o(y) be the second derivative of 5*y**6/6 + 89*y**5/4 + 335*y**4/12 - 85*y**3/6 - 351*y - 2. Determine w, given that o(w) = 0.
-17, -1, 0, 1/5
Suppose 366 = -294*n + 954. Let b(r) be the first derivative of 1/32*r**4 + 0*r + 0*r**n + 0*r**3 - 12. Solve b(f) = 0.
0
Let v(k) be the third derivative of -722/3*k**3 - 19/3*k**4 - 1/15*k**5 - k**2 + 0 + 0*k. Factor v(h).
-4*(h + 19)**2
Factor 10 - 16*u - 10/9*u**2.
-2*(u + 15)*(5*u - 3)/9
Suppose 9*g = -0*g + 315. Let -q**2 - 45*q**3 + 45*q**4 - 50*q**5 + g*q**3 + q**2 = 0. What is q?
0, 2/5, 1/2
Let c(l) be the first derivative of l**4/10 + 68*l**3/15 + 5637. Suppose c(h) = 0. Calculate h.
-34, 0
Factor -16*g**3 + 399565 - 81*g - 399295 + 4*g**3 - 363*g**2.
-3*(g + 1)*(g + 30)*(4*g - 3)
Let k(a) be the second derivative of 0*a**2 + a - 11/2*a**5 - 5/42*a**7 - 15/2*a**3 + 4/3*a**6 - 14 + 10*a**4. Let k(x) = 0. What is x?
0, 1, 3
Factor -92*f**2 - 4/5*f**3 + 4/5*f + 92.
-4*(f - 1)*(f + 1)*(f + 115)/5
Let w be 2/10*-42*15/(-2). Let y be 4014/w - (-4)/14. Suppose 128 - q**2 + 5*q**2 + 128 + y*q = 0. What is q?
-8
Suppose -2835*m + 2848*m = 0. Let f(r) be the second derivative of -10*r + 4/21*r**3 + 1/7*r**2 + 1/14*r**4 + m. Let f(c) = 0. Calculate c.
-1, -1/3
Let u(x) be the second derivative of -4*x - 1/72*x**6 + 0*x**4 + 0*x**2 - 5/24*x**5 + 7/3*x**3 + 0. Let b(m) be the second derivative of u(m). Solve b(s) = 0.
-5, 0
Let p be (4/3)/(4/(-6)). Let a be 1*p - (-10 + 4). Factor -4*x**3 + 5*x**4 - 7*x**2 - 3*x**a + x**2 + 8*x + 8.
2*(x - 2)**2*(x + 1)**2
Suppose 6*v + 102 = 996. Suppose -156 = -2*g - 2*w, -2*g + 2*w + v = -3*w. Let g + j + 4*j**3 - 76 - 5*j**3 - j**2 = 0. What is j?
-1, 1
Factor -1/5*w**2 - 362/5*w - 32761/5.
-(w + 181)**2/5
Let z be ((-26)/(-4))/((-29)/(-58)). Suppose z*t = 17*t. Factor -2/5*o + 1/5*o**2 + 1/5*o**3 + t.
o*(o - 1)*(o + 2)/5
Let a = 2073 - 2070. Let b(m) be the second derivative of -m + 3/4*m**2 + 3/160*m**5 + 1/2*m**a + 0 + 5/32*m**4. Find q, given that b(q) = 0.
-2, -1
Let w(k) be the third derivative of k**7/315 - 7*k**6/180 - 4*k**5/9 - 11*k**4/9 - k**2 + 77. Let w(p) = 0. Calculate p.
-2, 0, 11
Suppose x + 35 = 3*f, 2*f - 283 = 5*x - 251. Let u(v) be the second derivative of -1/3*v**3 - 2/5*v**5 - 1/10*v**6 + f*v + 0 - 7/12*v**4 + 0*v**2. Factor u(a).
-a*(a + 1)**2*(3*a + 2)
Factor 17916*m**2 - 302*m - 17913*m**2 - 523*m + 1170 + 61*m + 173*m.
3*(m - 195)*(m - 2)
Let p(w) be the second derivative of -w**6/60 - 9*w**5/40 + 13*w**4/12 + 15*w**3 + 50*w**2 - 46*w. Factor p(x).
-(x - 5)*(x + 2)**2*(x + 10)/2
Let r(n) be the third derivative of n**5/360 - n**4/8 + 2*n**3 - 17*n**2 - 11*n - 4. What is x in r(x) = 0?
6, 12
Let f be (((-4)/(-50))/2)/(398/4975). Let -625/3 - f*b**3 - 1975/6*b - 76/3*b**2 = 0. What is b?
-25, -2/3
Let q be ((-2)/(-7))/((-8)/(-112)). Determine i, given that 95 + 12*i**2 + 2*i - 97 - 10*i**5 + 4*i**3 - 10*i**4 + q*i**5 = 0.
-1, 1/3, 1
Let t(o) be the third derivative of o**6/540 - o**5/10 - 10*o**4/9 + 21*o**3 + 63*o**2 + 2. Let r(x) be the first derivative of t(x). Factor r(w).
2*(w - 20)*(w + 2)/3
Let j(i) = 23*i**2 + 2*i + 7. Let l be j(-1). Let w be (3/l)/((-2)/(-7)). Solve -3/8*b + 0 - w*b**3 + 3/4*b**2 = 0 for b.
0, 1
Determine x so that 12*x**3 + x**3 + 2*x**3 + 2*x**3 - 19*x**3 - 399616*x + 1790*x**2 - 401408 = 0.
-1, 448
Let q(p) = 2*p**2 - p - 4. Let y(w) = -45*w**2 + 1900*w - 3660. Let f(a) = -20*q(a) - y(a). Let f(l) = 0. Calculate l.
2, 374
Solve 34/7*t + 32/7 + 2/7*t**2 = 0 for t.
-16, -1
Let o(g) be the second derivative of -g**6/15 + 39*g**5/10 + 45*g**4/2 - 383*g**3/3 + 210*g**2 - 1787*g. Let o(l) = 0. Calculate l.
-5, 1, 42
Suppose 4*z - 109 = -97. Let v be (-1)/(z/(6/(-27)*3)). Solve -8/9 + 2/3*u**2 + v*u**3 + 0*u = 0 for u.
-2, 1
Let y = 2630 + -2628. Let p(h) be the third derivative of -3*h**3 - 1/20*h**5 + 0 + 0*h + 5/8*h**4 - 29*h**y. Suppose p(o) = 0. Calculate o.
2, 3
Suppose 275 = 11*s - 11. Let w be 12/50*65/s. Let -12/5*j + 12/5 + w*j**2 = 0. What is j?
2
Let l(x) be the first derivative of 3*x**5/7 - 9*x**4/7 - 71*x**3/7 + 45*x**2/7 - 2941. What is d in l(d) = 0?
-3, 0, 2/5, 5
Let x(z) be the first derivative of -z**4/10 + 196*z**3/15 - 57*z**2 - 2212. Factor x(u).
-2*u*(u - 95)*(u - 3)/5
Suppose 0 = i + 4, -4*g + 36 = i - 4*i. Suppose -2*w - 5*p = -6, g*p = 2*p. Factor 3 - w*v**2 - 3/2*v**3 + 3/2*v.
-3*(v - 1)*(v + 1)*(v + 2)/2
Let z(q) = -411 - 410*q**2 + 31*q**3 - 810*q + 1116*q + 829*q + q**3. Let p(u) = 31*u**3 - 410*u**2 + 1135*u - 408. Let c(k) = 7*p(k) - 6*z(k). Factor c(l).
5*(l - 13)*(l - 3)*(5*l - 2)
Suppose 9*h - 5*h - 8 = 0, 2*j = -2*h + 10. Factor g**j - 4*g**2 + 36*g - 18*g - 23*g.
g*(g - 5)*(g + 1)
Let i = 7126 - 7121. Let c(w) be the third derivative of 0*w + 1/330*w**i + 0 - 1/132*w**4 - 15*w**2 - 2/33*w**3. Solve c(v) = 0.
-1, 2
Let 6*q - 5/2*q**3 + 0 - 4*q**2 + 1/2*q**4 = 0. What is q?
-2, 0, 1, 6
Find g, given that -1/3*g**4 + 189*g**2 + 110/3*g**3 + 460/3 + 916/3*g = 0.
-2, -1, 115
Let z be 12/(-10)*(-35)/2. Find b such that -20*b**2 - 35 - 21 - 145*b + z = 0.
-7, -1/4
Let w(u) be the first derivative of -3*u**5/20 + u**4/6 + u**3/6 - 54*u + 38. Let k(v) be the first derivative of w(v). Factor k(r).
-r*(r - 1)*(3*r + 1)
Let r(s) be the third derivative of 0*s + 119*s**2 + 8/15*s**3 + 0 - 1/10*s**4 + 1/150*s**5. Factor r(m).
2*(m - 4)*(m - 2)/5
Let w = 2664 - 2662. Let r(q) be the first derivative of 2/5*q**5 - 4/3*q**3 + 17 + w*q + 0*q**4 + 0*q**2. Find k, given that r(k) = 0.
-1, 1
Let c(t) be the third derivative of -1/102*t**4 - 2*t + 1/2856*t**8 + 1/170*t**5 + 1/1020*t**6 + 0*t**3 + 18*t**2 - 1/595*t**7 + 0. Solve c(q) = 0.
-1, 0, 1, 2
Suppose 0 + 1/5*q**5 + 7/5*q**2 - 3/5*q**4 - 3/5*q**3 + 6/5*q = 0. What is q?
-1, 0, 2, 3
What is k in -2568*k + 1512 + 2070*k - 11*k**2 + 3*k**2 + 6*k**2 = 0?
-252, 3
What is p in 22/7*p**4 + 0*p + 1/7*p**5 + 0 + 75/7*p**3 + 54/7*p**2 = 0?
-18, -3, -1, 0
Let k = -51491 - -51493. Factor 1/5*j**k + 324/5 + 36/5*j.
(j + 18)**2/5
Let u be (-18 - (5 - 22))/(1/(-4)). Let p(k) be the second derivative of 13*k + 0*k**2 + 0 - 1/18*k**u - 5/9*k**3. What is d in p(d) = 0?
-5, 0
Let v(m) = -2*m**2 + 18*m - 8. Let d be v(7). Let -55*w**3 + d*w**4 + 25*w**2 - 3441 + 10*w + 3441 = 0. Calculate w.
-1/4, 0, 1, 2
Let f(z) = -114*z**2 + 64707*z - 31693038. Let j(q) = -21*q**2 + 11765*q - 5762370. Let m(w) = -5*f(w) + 27*j(w). Factor m(r).
3*(r - 980)**2
Let o = 9078 + 131. Factor 128*l + o - 3733 - 424*l + 4*l**2 + 0*l**2.
4*(l - 37)**2
Let g(q) be the first derivative of -11*q**4 + 1840*q**3/3 + 3138*q**2 + 1080*q + 4035. Solve g(l) = 0 for l.
-3, -2/11, 45
Let f be 16/64 + (0 - ((-3)/4 - 2)). Let y(t) be the third derivative of 0 + 0*t + 1/5*t**5 + 25/3*t**f + 15/8*t**4 + 5*t**2 + 1/120*t**6. Factor y(q).
(q + 2)*(q + 5)**2
Let o(s) = 1153*s + 4. Let b be o(1). Suppose 88 - 441*g - b + 40 - 27*g**2 - 36*g**2 - 3*g**3 = 0. Calculate g.
-7
Let w(i) be the third derivative of -i**6/210 + 1004*i**5/105 - 126002*i**4/21 + 2991*i**2. Determine h so that w(h) = 0.
0, 502
Let u(m) be the first derivative of -50 + 1/2*m**3 + 1/2*m + 1/8*m**4 + 3/4*m**2. Let u(j) = 0. Calculate j.
-1
Let i(f) be the first derivative of -20/3*f**2 - 20/9*f**3 + 5/6*f**4 - 16/3*f + 2/5*f**5 - 66. Let i(g) = 0. Calculate g.
-2, -1, -2/3, 2
Let o(n) be the second derivative of -11/5*n**5 + 0 + 5*n - 7/40*n**6 - 3/2*n**4 - 18*n**2 + 0*n**3. Let c(r) be the first deriva