*h - p*h**3 + 0*h**2 + 0*h**4 + 0. Solve n(v) = 0 for v.
-1, 0, 1
Let o(a) be the first derivative of -2*a**4 + 276*a**3 - 825*a**2/4 + 103*a/2 - 778. Factor o(t).
-(t - 103)*(4*t - 1)**2/2
Let z = -3276146/7 - -467063. Let n = z - -958. Factor i + 0 + n*i**2.
i*(i + 7)/7
Let i(y) be the second derivative of -3*y**2 - 1/24*y**4 - y - 2/3*y**3 - 3. Suppose i(v) = 0. Calculate v.
-6, -2
Factor 2 - 19/5*w - 2/5*w**2.
-(w + 10)*(2*w - 1)/5
Let j be (-63)/357*(6/(-9))/1. Let z(x) be the first derivative of 2/85*x**5 + 0*x - j*x**2 + 0*x**4 + 15 - 2/17*x**3. Let z(p) = 0. What is p?
-1, 0, 2
Let s(l) be the third derivative of 0 + 0*l + 9/32*l**4 + 1/80*l**5 + 5/2*l**3 - 76*l**2. Let s(k) = 0. Calculate k.
-5, -4
Let u(y) = -15*y - 7 - 42*y**2 - 9 + 45*y**2. Let s(n) = -16*n**2 + 76*n + 81. Let w(q) = -6*s(q) - 33*u(q). Factor w(o).
-3*(o - 14)*(o + 1)
Let s(j) be the second derivative of 32*j - 19/39*j**3 + 1/130*j**5 + 4/39*j**4 - 4 + 10/13*j**2. Let s(q) = 0. Calculate q.
-10, 1
Suppose 13 = 4*z + h, 6 = 3*z + 3*h - 15. Factor 2*n**2 - 5*n**5 + 59*n - 30*n**3 - 20*n**2 - 20*n**4 - 2*n**z - 64*n.
-5*n*(n + 1)**4
Let l(o) be the second derivative of o**6/840 + 4*o**5/105 + 5*o**4/42 + 5*o**3/2 + 87*o. Let f(g) be the second derivative of l(g). Factor f(x).
(x + 10)*(3*x + 2)/7
Suppose 34*p - 37*p - 8 = 2*o, 2*o + p = 0. Let d(x) be the first derivative of -10 + 3/4*x**4 + 0*x**3 + 0*x**o + 0*x. Solve d(k) = 0 for k.
0
Let v be -7*15/(-20) + (20/(-1))/4. Let o(w) be the first derivative of -2*w + 1/8*w**4 + 11 - v*w**2 + 2/3*w**3. Suppose o(q) = 0. What is q?
-4, -1, 1
Let i be (-13889)/1615 + 16/10 + (-74)/(-2). Let z(y) be the third derivative of 0*y - 5/3*y**4 - 1/3*y**5 + 0 - i*y**2 - 5/2*y**3. Let z(s) = 0. Calculate s.
-3/2, -1/2
Let z be (1566/72 - 22)/(2/(-16)). Determine l, given that -148/3*l**z - 202612/9 - 5476/3*l - 4/9*l**3 = 0.
-37
Let t(u) be the first derivative of -u**4/18 - 116*u**3/9 - 3364*u**2/3 + 190*u - 111. Let k(v) be the first derivative of t(v). Factor k(y).
-2*(y + 58)**2/3
Let m = 737907 - 737907. Let -2/9*h**5 - 4/9*h**3 - 8/9*h**4 + 8/9*h**2 + m + 2/3*h = 0. Calculate h.
-3, -1, 0, 1
Let g(w) be the second derivative of -w**5/110 - 13*w**4/11 - 296*w**3/33 + 8751*w. Factor g(n).
-2*n*(n + 4)*(n + 74)/11
Let d(r) = -3*r**2 - 109*r + 8. Let l(h) = h**2 + 36*h - 3. Let t(c) = c - 4. Let w be t(12). Let u(n) = w*l(n) + 3*d(n). Factor u(a).
-a*(a + 39)
Let i = 191347/7 - 27334. Factor 3/7*x**2 + i*x + 6/7.
3*(x + 1)*(x + 2)/7
Let c = 956431/149440 - 3/29888. Factor 0*u + 6/5*u**2 - c + 1/5*u**3.
(u - 2)*(u + 4)**2/5
Let a = 1657/1122 - 58/187. Determine p so that p + 0*p**3 - 1/6*p**4 + 0 + a*p**2 = 0.
-2, -1, 0, 3
Let d(b) be the first derivative of b**6/2 + b**5/4 - 5*b**4/4 - 5*b**3/6 - 23*b - 6. Let g(m) be the first derivative of d(m). Factor g(v).
5*v*(v - 1)*(v + 1)*(3*v + 1)
Let w(z) = z. Let l(b) = -2*b**3 + 10*b**2 + 7*b - 10. Let i(r) = -l(r) + 5*w(r). Suppose i(j) = 0. What is j?
-1, 1, 5
Let w(f) = f**3 + 4*f**2 - 2*f - 2. Let c be w(-4). Factor -35 - 15*l - c*l**2 - 14*l - 34*l + 5.
-3*(l + 10)*(2*l + 1)
Suppose 7*a - 759 = 186. Let g = -129 + a. Factor -65 + g*q - q**2 + 122 - 65.
-(q - 4)*(q - 2)
Solve 31009 - 71073 - 172354 + 36250*l - 183359 + 2*l**3 - 520*l**2 + 83277 = 0.
10, 125
Let f(i) be the first derivative of -i**4/16 + 4*i**3 + 99*i**2/8 + 25*i/2 + 1008. Factor f(d).
-(d - 50)*(d + 1)**2/4
Suppose -160*y - 26*y = 196 - 568. Factor -3 + 3*m - 3/4*m**y.
-3*(m - 2)**2/4
Let f = 587/440 - -262457/3960. Let h = f + -395/6. Factor -h*g**3 - 8/9*g + 4*g**2 + 0.
-4*g*(g - 2)*(4*g - 1)/9
Let s(n) be the third derivative of -10*n**2 + 1/24*n**6 + 0 + 8*n + 0*n**3 - 3/2*n**5 + 0*n**4. Determine o, given that s(o) = 0.
0, 18
Let c(x) = -x**3 - 10*x**2 - 18*x - 13. Suppose 2*s - 8 = -24. Let n be c(s). Determine f so that -3/2*f**2 + 1/2*f**4 - f + 0*f**n + 0 = 0.
-1, 0, 2
Let m = 226 + -224. Factor 2*s**2 + 3*s**2 - 3*s**m + 16 + 3*s - 21*s.
2*(s - 8)*(s - 1)
Let c(u) = u**2 - 5*u - 10. Let d(r) = 3*r + 10 - 1 - 100*r**2 + 2*r + 46*r**2 + 53*r**2. Let k(p) = 5*c(p) + 4*d(p). Let k(y) = 0. Calculate y.
-2, 7
Let g = 1585921 + -1585921. Factor 10/7*q**2 + g - 4/7*q**3 + 12/7*q - 2/7*q**4.
-2*q*(q - 2)*(q + 1)*(q + 3)/7
Factor -105966 + 1216/7*r**2 + 1/7*r**3 + 52635*r.
(r - 2)*(r + 609)**2/7
Let u = 28077 - 28072. Determine m so that -1/2*m**3 - 1/2*m**u + m + 3/2*m**2 + 0 - 3/2*m**4 = 0.
-2, -1, 0, 1
Let x(i) be the second derivative of -36*i**5/5 - 136*i**4 - 1610*i**3/3 - 882*i**2 - 698*i - 2. Let x(d) = 0. What is d?
-9, -7/6
Find f such that -849/4 - 3/4*f**2 + 213*f = 0.
1, 283
Let z = -1021451/10 + 207383/2. Let i = -1546 + z. Factor -i*k**4 - 1/5*k**3 + 0*k**2 + 0*k + 0.
-k**3*(2*k + 1)/5
Let k(t) be the third derivative of t**10/604800 - t**9/60480 - t**5/3 - 5*t**3/3 + 183*t**2. Let r(j) be the third derivative of k(j). Factor r(h).
h**3*(h - 4)/4
Suppose -13 + 127 = 6*w. Factor -5*o**3 + 7*o**2 - 4*o**2 - w*o**2 - 4*o**2 + 60*o.
-5*o*(o - 2)*(o + 6)
Let i = 286821/4 - 143409/2. Let q = 81 - 321/4. Factor 1/4*d**5 - 1/4*d**3 + 0*d + q*d**2 + 0 - i*d**4.
d**2*(d - 3)*(d - 1)*(d + 1)/4
Let d(v) = v**3 + 19*v**2 + 27*v + 164. Let j = -743 + 725. Let n be d(j). Determine t, given that -2/17 - 4/17*t - 2/17*t**n = 0.
-1
Suppose -9*t = 13*t - 88. Suppose 2*v - 5*z = 290, 3*v + z = 3*z + 424. What is q in -4*q - 20*q**3 - 93*q**5 + 4*q - 152*q**5 + v*q**t = 0?
0, 2/7
Let k(y) be the second derivative of y**8/2520 + y**7/630 + y**3/3 + 35*y**2/2 - 54*y. Let t(r) be the second derivative of k(r). Factor t(b).
2*b**3*(b + 2)/3
Let p be -6*(92/(-12)*1 + (14 - 7)). Let b(i) be the third derivative of 1/40*i**6 + 0*i**5 + 0*i**p + 0 - 7*i**2 + 0*i + 0*i**3. Factor b(o).
3*o**3
Let c = 10241 - 10241. Factor -1/6*i**5 + c*i + 1/6*i**4 - 1/6*i**2 + 0 + 1/6*i**3.
-i**2*(i - 1)**2*(i + 1)/6
Let m = 12345789/84632 + -12/10579. Solve -129/4 - 21/8*i**3 - m*i - 465/4*i**2 = 0 for i.
-43, -1, -2/7
Factor -5*r**3 + 5*r + 6*r**2 - 1/2*r**4 - 11/2.
-(r - 1)**2*(r + 1)*(r + 11)/2
Suppose 0 = r + 3*i - 5, -2*r + 19*i - 1 = 14*i. Let -22497*s - 26114 + 601106 - 2*s**3 + 396*s**r - 3639*s = 0. What is s?
66
Let l(s) be the second derivative of 1/45*s**6 + s + 39 + 0*s**2 + 16/9*s**3 + 3/5*s**5 + 11/6*s**4. Factor l(h).
2*h*(h + 1)**2*(h + 16)/3
Solve 5/3*c**5 + 0 + 5/3*c**4 + 100/3*c - 5/3*c**2 - 35*c**3 = 0.
-5, -1, 0, 1, 4
Let w(l) be the first derivative of 19/5*l**5 + 4/3*l**3 + 11/2*l**4 + 0*l + 0*l**2 - 147 + 3/4*l**6. Factor w(v).
v**2*(v + 2)**2*(9*v + 2)/2
Let x be (3 - 9/(-4))/(3/16). Let p = x - 15. Factor -4*a**2 - 4*a - 7*a**4 + 4*a**4 + p*a**3 - 2*a**4.
-a*(a - 2)*(a - 1)*(5*a + 2)
Let x be (19 + (-871)/26)*(-73 + 1). Let b = 2089/2 - x. Find a, given that 5/2*a - 2 - b*a**2 = 0.
1, 4
Factor 1334/3*p**2 - 148 - 887/3*p - p**3.
-(p - 444)*(p - 1)*(3*p + 1)/3
Let x be (4 - 92/20)/((-4)/120). Suppose x + 12 = 10*v. Factor -14 + k + 8*k + 1 + 1 + v*k**2.
3*(k - 1)*(k + 4)
Let d(g) be the first derivative of -2*g**5/35 - 7*g**4/2 + 372*g**3/7 - 1856*g**2/7 + 3776*g/7 + 1421. Suppose d(a) = 0. What is a?
-59, 2, 4
Let y(k) be the third derivative of k**7/560 + 11*k**6/320 + 3*k**5/20 - k**4/16 - 2*k**3 - 368*k**2. Determine b so that y(b) = 0.
-8, -2, 1
Factor -58/11*m - 12/11*m**2 + 182/11.
-2*(m + 7)*(6*m - 13)/11
Let h(j) be the first derivative of 2*j**3/57 + 66*j**2/19 - 134*j/19 + 574. Factor h(c).
2*(c - 1)*(c + 67)/19
Let n(u) be the third derivative of u**6/240 - 11*u**5/120 + u**4/2 + 3*u**3 + 34*u**2 + 26*u. Factor n(y).
(y - 6)**2*(y + 1)/2
Let n(c) = -37*c**2 + 1069*c + 795. Let q(g) = -5*g**2 - g - 1. Let d(p) = 2*n(p) - 18*q(p). Solve d(f) = 0.
-134, -3/4
Let x = 486 + -283. Determine q, given that -x*q - 3*q**4 - 6*q**2 + 0*q**4 + 203*q + 9*q**3 = 0.
0, 1, 2
Let m(g) be the third derivative of -35*g**2 + 0*g**5 + 0*g + 0*g**3 + 1/40*g**6 + 11/210*g**7 - 1/84*g**8 + 0*g**4 + 0. What is o in m(o) = 0?
-1/4, 0, 3
Let g(x) be the first derivative of -15*x**3 - 29 + 3*x**5 - 30*x**2 - 20*x + 5/2*x**4. Factor g(s).
5*(s - 2)*(s + 1)**2*(3*s + 2)
Suppose 3*r = 20 + 7. Factor 18*o + 3*o**2 + 9*o - r*o.
3*o*(o + 6)
Let l(o) be the second derivative of -o**5/540 - o**4/72 + o**3/3 + 18*o**2 - o + 1. Let c(k) b