*p**3 - 6*p**2 - 10*p**5 - 39*p**4 - 2*p**o + 15*p**3 = 0. Calculate p.
-2, -1, -1/4, 0
Let t(c) be the first derivative of -1/15*c**3 + 4*c - 1/10*c**4 + 2/5*c**2 + 1/75*c**6 + 5 + 1/50*c**5. Let b(r) be the first derivative of t(r). Factor b(m).
2*(m - 1)**2*(m + 1)*(m + 2)/5
Let i(z) be the first derivative of z**4/7 - 16*z**3/7 - 119. Let i(k) = 0. What is k?
0, 12
Suppose -100 = -8*d - 36. Find x, given that d*x + 7 + 0*x - 2*x**2 + 3 + 0*x**2 = 0.
-1, 5
Suppose 14*q + 3*q - 68 = 0. Let k(p) be the second derivative of -1/4*p**q - p**3 + 0 - 6*p + 0*p**2. Solve k(t) = 0 for t.
-2, 0
Let p(l) be the second derivative of -3*l**7/70 - 7*l**6/25 - 39*l**5/50 - 6*l**4/5 - 11*l**3/10 - 3*l**2/5 - 17*l. Factor p(k).
-3*(k + 1)**4*(3*k + 2)/5
Let f(g) = -g - 5. Let i be f(-8). Solve -6*n**2 - 3*n**2 - 9*n - n**2 + 35*n**i - 26*n + 10 = 0.
-1, 2/7, 1
Let u = -715 - -717. Let y(l) be the second derivative of 1/3*l**4 + 2/15*l**6 + 2*l + 0 + 0*l**3 + 0*l**u + 2/5*l**5. Let y(t) = 0. What is t?
-1, 0
Let z(a) be the second derivative of a**6/30 + a**5/80 - 7*a**4/48 - a**3/24 + 3*a**2/8 + 3*a + 21. Determine r so that z(r) = 0.
-1, 3/4, 1
Let f be 2 - -193*(-4 - (-9 - -4)). Let x be (0 - 2/(-10)) + (-39)/f. Factor -1/5*z**2 + x*z + 0.
-z**2/5
Let n(x) be the second derivative of 3*x**7/7 - 4*x**6 + 97*x**5/10 + 29*x**4/3 - 44*x**3 - 72*x**2 - x + 363. Solve n(q) = 0.
-2/3, 2, 3
Let n(j) be the third derivative of -j**7/1960 - j**6/280 - 3*j**5/280 - j**4/56 - 2*j**3 + 11*j**2. Let r(h) be the first derivative of n(h). Factor r(u).
-3*(u + 1)**3/7
Let r(l) = -l**3 + 7*l**2 + 7*l + 4. Let t be r(8). Let c be (-54)/45*10/t. Solve w**3 + c - 10*w**5 + 3*w**4 - 6*w**2 - 2*w**3 - w + 9*w**5 + 3*w**3 = 0 for w.
-1, 1, 3
Let i = -3/626 - -1115/4069. Let v(c) be the first derivative of -i*c**4 + 0*c**2 - 8/65*c**5 + 5 + 4/39*c**3 + 0*c. Factor v(g).
-2*g**2*(g + 2)*(4*g - 1)/13
Let c = 22261/30 - 742. Let t(g) be the second derivative of 7/20*g**5 - 3/2*g**4 + 10/3*g**3 - 9*g - 4*g**2 - c*g**6 + 0. Factor t(k).
-(k - 2)**3*(k - 1)
Let o(q) = -2*q**3 + 2*q**2 - 2*q - 2. Let f(l) be the first derivative of 5/2*l**2 - 4/3*l**3 + 4*l + l**4 + 2. Let n(x) = 4*f(x) + 9*o(x). Factor n(r).
-2*(r - 1)**2*(r + 1)
Let o be 1*-7*(-14)/7. Let y be -6 + (-44)/(-7) + 3/o. Factor n**2 + y*n - 1 - 1/2*n**3.
-(n - 2)*(n - 1)*(n + 1)/2
Let s(f) = -f + 13. Let l be s(6). Suppose 7*v - 2*v = -g + l, 0 = -5*g - 15. Determine q, given that -v + 20*q - 9*q**2 - 25*q**2 - 5*q**2 - 11*q**2 = 0.
1/5
Let j = 18 + -15. Suppose -p + 32 = 5*c, p + 4 = 2*c - j*p. Let 16*n**2 + 8*n**3 + 2 + 13*n**3 + n**5 + 8*n + c*n**4 + n - 7*n**3 = 0. Calculate n.
-2, -1
Let a(f) be the third derivative of 7*f**2 + 0*f - 1/9*f**3 + 1/315*f**7 + 0*f**5 + 0 - 1/90*f**6 + 1/18*f**4. Factor a(x).
2*(x - 1)**3*(x + 1)/3
Suppose -13 = 5*u - 33. Factor 10*r**2 - 468 + 12*r + 468 - 3*r**u + 15*r**3 - 34*r**2.
-3*r*(r - 2)**2*(r - 1)
Factor 25*x**3 + 10*x - 35*x**2 - 89*x**3 + 44*x**3.
-5*x*(x + 2)*(4*x - 1)
Let a(c) be the third derivative of 0*c - 9*c**2 + 1/420*c**5 + 0*c**3 + 0*c**4 - 1/420*c**6 + 0 + 1/1470*c**7. Factor a(y).
y**2*(y - 1)**2/7
Let v(u) = -u**2 - u. Let b be v(1). Let i be (1 - b) + (-52)/(-2). Solve 4*l**2 + 29 - i - 2*l**3 - 10*l**3 + 8*l**4 = 0.
0, 1/2, 1
Factor 7*n**3 - 8*n**3 - 12*n**5 - 28*n**4 - 4*n**3 - 3*n**3.
-4*n**3*(n + 2)*(3*n + 1)
Factor 8 - 63 - 115*j - 14*j**2 - 10*j**2 - 22*j**2 - 5*j**3 - 19*j**2.
-5*(j + 1)**2*(j + 11)
Let n(k) = -2*k**4 - k**3 - 6*k**2 - 5*k. Let v(l) = -l**4 - 3*l**2 - 2*l. Let s(i) = 6*n(i) - 14*v(i). Factor s(t).
2*t*(t - 1)**3
Factor 12*u**2 + 11*u + 7/2 + 1/2*u**4 + 5*u**3.
(u + 1)**3*(u + 7)/2
Let b(s) be the first derivative of s**5/180 + s**4/72 - s**3/9 - 41*s**2/2 + 14. Let n(v) be the second derivative of b(v). Factor n(p).
(p - 1)*(p + 2)/3
Suppose 0 = -s - s + a + 296, -4*s - 4*a = -580. Let i = s - 145. Factor 0 - 2/3*d + 2/3*d**3 + d**i.
d*(d + 2)*(2*d - 1)/3
Let j(b) be the second derivative of b**4/21 - 16*b**3/21 - 429*b. Factor j(w).
4*w*(w - 8)/7
Let g = 448 + -446. Factor 2/9*a**g + 0*a + 0 + 2/9*a**3.
2*a**2*(a + 1)/9
Let u be -2 - ((-30)/5 - -2). Find j, given that 0*j - 2 - 2*j - u*j**2 - 3*j = 0.
-2, -1/2
Suppose 4*a + 37 = 2*i - a, -5*a - 25 = 0. Suppose i*c - 8*c = 0. Solve c*k**3 - 1/3*k**4 + 1/3*k**2 + 0*k + 0 = 0 for k.
-1, 0, 1
Suppose 6*t = -452 + 164. Let y = -44 - t. Factor 1/3*g + 0 - 7/6*g**2 - 1/2*g**y + 4/3*g**3.
-g*(g - 1)**2*(3*g - 2)/6
Suppose 4*l = 4*o - 240, -4*o + 0*l + 208 = 4*l. Suppose 3*g = -8*m + 6*m + 1, 2*m = -4*g. Factor -124*p**2 + o*p - m - 72*p**2 - 2.
-4*(7*p - 1)**2
Factor -7/8*t**3 + 3/4*t**2 + 0*t + 1/8*t**4 + 0.
t**2*(t - 6)*(t - 1)/8
Factor -70 - 167 + 139 - q**2 + 0*q + 51*q.
-(q - 49)*(q - 2)
What is o in 92/13*o**2 + 2/13*o**5 + 18/13*o**4 + 18/13 + 60/13*o**3 + 66/13*o = 0?
-3, -1
Suppose 3*c = -5*f - 9 - 7, 0 = 5*f + 25. Solve -39*g**2 - 20 + 160*g - 10*g**c - 156*g**2 + 0*g**4 + 65*g**4 = 0 for g.
-2, 2/13, 1
Determine z so that -35/3*z - 37/3*z**4 + 7/3*z**2 - 22/3*z**5 - 2 + 31*z**3 = 0.
-3, -1/2, -2/11, 1
Let n(q) be the second derivative of -q**6/2 - 2*q**5 + 5*q**4/2 + 20*q**3/3 - 15*q**2/2 + q - 63. Find a, given that n(a) = 0.
-3, -1, 1/3, 1
Let k(p) be the first derivative of -p**4/4 - 4*p**3/3 - p**2/2 + 12. Let d(n) = n**2 + n. Let i(r) = 6*d(r) + 2*k(r). Factor i(l).
-2*l*(l - 1)*(l + 2)
Suppose 2*i + 5*m - 3 = 0, 1 = -m - 0. Suppose 0 = i*z - 1 - 7. Solve -z - 2 - 9*d**2 + 10*d**2 = 0.
-2, 2
Let k(l) be the second derivative of -5*l + 1/200*l**5 - 1/5*l**2 - 1/20*l**4 + 0 + 3/20*l**3. What is u in k(u) = 0?
1, 4
Let g(t) = -18 - 3839*t - 2*t**2 + 3*t**2 + 3822*t. Let f be g(18). Determine w so that -2/13*w**2 + 2/13*w**4 + 4/13*w**3 - 4/13*w + f = 0.
-2, -1, 0, 1
Let y(a) be the second derivative of -a**5/30 - a**4/2 - 5*a**3/3 - 3*a**2/2 + 3*a. Let i(p) be the first derivative of y(p). Suppose i(m) = 0. Calculate m.
-5, -1
Let x(w) = w - 1. Let i = -28 - -40. Let z(m) = -2*m**3 - 24*m**2 - 102*m - 122. Let y(f) = i*x(f) + 2*z(f). Factor y(a).
-4*(a + 4)**3
Let s(l) = l**3 - 28*l**2 + 183*l - 26. Let q be s(10). Factor -3/4*c**2 + 1 - c**3 - 1/4*c**q + c.
-(c - 1)*(c + 1)*(c + 2)**2/4
Let m(t) be the third derivative of t**6/300 + t**5/15 + 11*t**4/20 + 12*t**3/5 + 56*t**2. Solve m(v) = 0.
-4, -3
Let c(g) be the third derivative of 0 - 1/540*g**6 + 2/3*g**3 + 0*g + 7*g**2 - 1/90*g**5 - 1/36*g**4. Let b(f) be the first derivative of c(f). Factor b(y).
-2*(y + 1)**2/3
Let p = 3524/651 - 52/651. Suppose 88/3*f + 74/3*f**3 - 14/3*f**4 - p - 44*f**2 = 0. Calculate f.
2/7, 1, 2
Let q be 5/(-3)*53610/(-750). Let p = q - 119. Solve 0*d - p*d**2 + 0 - 2/3*d**4 - 4/5*d**3 = 0 for d.
-1, -1/5, 0
Suppose 0 = 5*d - 18 - 2. Suppose -2 = -d*j + 3*j. Solve -2*a**3 - a**4 + 3*a**2 - 2*a**3 + 2*a**3 - 2*a**2 + j*a = 0.
-2, -1, 0, 1
Let i(w) be the first derivative of w**4/2 - 10*w**3/3 + 2*w**2 + 16*w + 41. What is b in i(b) = 0?
-1, 2, 4
Let s be ((-60)/(-520))/(1/13). Factor 0 - 3/2*r**3 + 3*r - s*r**2.
-3*r*(r - 1)*(r + 2)/2
Let j = 37/102 + -3947/102. Let x = -37 - j. Factor 4/3*f**3 + 2/3 - x*f - 2/3*f**2.
2*(f - 1)*(f + 1)*(2*f - 1)/3
Let m(g) be the third derivative of -g**6/30 + 9*g**5/5 - 65*g**4/2 + 338*g**3/3 + 104*g**2. Factor m(v).
-4*(v - 13)**2*(v - 1)
Let o(u) = -4*u**2 - 24*u + 46. Let f(x) = -9*x**2 - 48*x + 90. Let z(b) = 6*f(b) - 14*o(b). Determine g so that z(g) = 0.
-26, 2
Let l(d) = d**3 + 10*d**2 + 11*d - 4. Let j(n) = -n**3 - 6*n**2 - 2*n. Let i(o) = 2*j(o) + l(o). Suppose i(k) = 0. What is k?
-4, 1
Suppose -4*o + 5*o - 4*r + 3 = 0, 4*r + 72 = -4*o. Let l = o - -18. Factor 1/2*q**5 + 1/2 - q**l + 1/2*q + 1/2*q**4 - q**2.
(q - 1)**2*(q + 1)**3/2
Solve -183*c**2 - 4*c**4 + 3*c**3 - 5*c**3 + c**5 + 187*c**2 + c**5 = 0 for c.
-1, 0, 1, 2
Suppose -133 = 8*w - 149. Let m(d) = -d**3 + 15*d**2 - 13*d - 11. Let s be m(14). Find a such that -24/7*a**s - w*a**4 + 0 + 4/7*a - 6/7*a**2 = 0.
-1, 0, 2/7
Solve 368/11*m - 16928/11 - 2/11*m**2 = 0.
92
Let f(j) = 32*j**3 - 64*j**2 - 208*j + 68. Let l(t) = 34*t**3 - 64*t**2 - 208*t + 70. Let z(v) = 3*f(v) - 2*l(v). Factor z(u).
4*(u - 4)*(u + 2)*(7*u - 2)
Suppose -120 = -a - 110. Suppose -a + 7 = -o. Factor 0*y**2 + 2/5*y**5 + 2/5*y**o +