(u) = 10*u**2 + 2*u - 3. Let b be c(1). Let q be 60/(-36)*b/(-30). Solve 5/2*p**3 + 11/4*p + q + 19/4*p**2 = 0 for p.
-1, -1/2, -2/5
Let u = 10 - -1. Let f = 15 - u. Factor -t**2 + 4*t**2 + 0*t**f + 5*t**4 - 8*t**4.
-3*t**2*(t - 1)*(t + 1)
Let f(u) be the second derivative of u - 2/15*u**3 + 0 + 0*u**2 - 1/30*u**4. Factor f(r).
-2*r*(r + 2)/5
Let i(z) be the first derivative of 2*z**3/27 - 19*z**2/9 + 131. What is b in i(b) = 0?
0, 19
Let p(d) be the third derivative of -d**10/90720 + d**9/45360 - 3*d**4/8 + 11*d**2. Let a(h) be the second derivative of p(h). Factor a(x).
-x**4*(x - 1)/3
Let d(k) be the first derivative of 6*k**5/35 + 19*k**4/14 + 62*k**3/21 - 3*k**2/7 - 36*k/7 + 250. Determine s so that d(s) = 0.
-3, -1, 2/3
Suppose -14 = -2*i + 58. Factor 2 - 17*k**4 + 28*k + 20*k**3 + 21*k**4 + 6 + i*k**2.
4*(k + 1)**3*(k + 2)
Let r(m) be the second derivative of -m**5/5 - 5*m**4/3 - 8*m**3/3 - 48*m. Suppose r(h) = 0. What is h?
-4, -1, 0
Let n be (-13604)/(-608) + -21 + 2. Factor 3 - n*y + 3/8*y**2.
3*(y - 8)*(y - 1)/8
Factor 0*w**3 + 94*w - 110*w - w**2 + w**3 - 20.
(w - 5)*(w + 2)**2
Let b be ((-10)/(-6))/(40/48). Suppose -2*o + o = -1. What is l in 7*l**2 + 0*l**b - o - 6*l - 2 - 10*l**2 = 0?
-1
Let d = 3130 - 3128. Find t, given that 3/5*t**4 + 0 + 9/5*t**3 - 27/5*t**d + 3*t = 0.
-5, 0, 1
Let j(p) = p**4 - 178*p**3 - 299*p**2 - 150*p - 6. Let l(v) = -175*v**3 - 300*v**2 - 150*v - 5. Let u(s) = -5*j(s) + 6*l(s). Find f, given that u(f) = 0.
-30, -1, 0
Let x be -2 + (-32)/(-17) - (-72)/612. Determine j so that 0*j**2 + 4/3*j**3 + x + 4/3*j**4 + 0*j = 0.
-1, 0
Let c = 29 - 23. Determine g, given that 3 + 5*g**4 - 6*g**2 - 10*g**4 + 4*g**4 + c*g**5 + 6*g - 12*g**3 + 4*g**4 = 0.
-1, -1/2, 1
Let a(l) be the first derivative of 3*l**5/5 - 39*l**4/4 + 50*l**3 - 48*l**2 - 288*l + 26. Suppose a(m) = 0. Calculate m.
-1, 4, 6
Let w be 88/(-112)*(-32)/88. Let -4/7*p**2 + 4/7*p**4 + w*p**5 + 0 + 0*p**3 - 2/7*p = 0. Calculate p.
-1, 0, 1
Let r(b) be the first derivative of 5/12*b**4 - 2/3*b**3 - 2/15*b**5 + 0*b + 1/60*b**6 - 5 - b**2. Let q(v) be the second derivative of r(v). Factor q(y).
2*(y - 2)*(y - 1)**2
Factor 2/3*n**3 + 0 + 0*n - 64/3*n**2.
2*n**2*(n - 32)/3
Let l(r) = -3*r**2 - r. Let n(f) = -14*f**2 + 30. Let p(b) = -4*l(b) + n(b). Find m such that p(m) = 0.
-3, 5
Suppose -3*a - 27 = -4*d, -25*d + 20*d = -2*a - 25. Let t(l) be the third derivative of 0*l - 1/30*l**6 + 0*l**d - 2/15*l**5 - l**2 + 0 + 0*l**4. Factor t(m).
-4*m**2*(m + 2)
Let f be (2/(-20))/((99/22)/(-1)). Let p(j) be the third derivative of 3*j**2 - f*j**4 + 1/450*j**5 + 4/45*j**3 + 0 + 0*j. Factor p(b).
2*(b - 2)**2/15
Let d(u) = 13*u**3 - 45*u**2 + 47*u - 15. Let v(q) = 90*q**3 - 315*q**2 + 330*q - 105. Let o(p) = -20*d(p) + 3*v(p). Find c, given that o(c) = 0.
1/2, 1, 3
Let w be -4*1*(-54)/(-8). Let f = 2 - w. Factor -6*d**3 + 27*d**4 - 5*d**2 - 2*d**2 - f*d**4 + 3*d**2.
-2*d**2*(d + 1)*(d + 2)
Suppose 5*v = -0*k + 4*k + 24, -4*v - 2*k = -40. Suppose 0*p + 24 = v*p. Let 0 - 4/7*w**2 + 0*w - 22/7*w**p = 0. What is w?
-2/11, 0
Let n(b) be the second derivative of -3*b**5/20 + b**4/2 + 35*b**3/2 - 75*b - 1. Determine i, given that n(i) = 0.
-5, 0, 7
Let j(g) = -2*g - 4. Let k be j(-6). Let c(p) = 0*p - 9*p - 66*p**2 - 3*p. Let f(a) = -22*a**2 - 4*a. Let h(q) = k*f(q) - 3*c(q). Let h(l) = 0. What is l?
-2/11, 0
Let t(z) = 3*z**3 - 43*z**2 + 124*z - 108. Let v(s) = 3*s**3 - 42*s**2 + 123*s - 108. Let d(u) = 3*t(u) - 4*v(u). Factor d(a).
-3*(a - 9)*(a - 2)**2
Let j(m) be the third derivative of 1/60*m**6 + 1/15*m**5 - 5*m**2 - 1/105*m**7 + 0 + 0*m**3 + 0*m**4 + 0*m. Factor j(a).
-2*a**2*(a - 2)*(a + 1)
Let j be 3/15*5 - 1/3. Let p be (-221)/(-65) - (-12)/(-30). Factor -j*g**2 - 1/3*g**p + 0 + g.
-g*(g - 1)*(g + 3)/3
Let q = -347 + 505. Let -28*s**4 + 97*s**3 + 23*s**3 - 14*s**2 - q*s**2 - 16 + 96*s = 0. What is s?
2/7, 1, 2
Let m(c) = c**2 - 4*c + 2. Let v be m(4). Factor -100*d**v + 269 + 144*d + 3*d**3 + 136*d**2 - 77.
3*(d + 4)**3
Let s(g) be the second derivative of -7*g**5/5 - 3*g**4 + 8*g**3 + 8*g**2 - 14*g - 2. Factor s(c).
-4*(c - 1)*(c + 2)*(7*c + 2)
Factor -1 - 27*s**2 + 147*s**2 - 363*s**3 + 84*s + 354*s**3 + 1.
-3*s*(s - 14)*(3*s + 2)
Let s = 29130 + -29127. Find b, given that 1/5*b**s + b + 4/5*b**4 - 12/5*b**2 + 2/5 = 0.
-2, -1/4, 1
Let z be (-77)/(-22) - ((0 - 1) + 2). Factor -5/2*q**2 + 0*q + z*q**3 + 0.
5*q**2*(q - 1)/2
Let z(s) = 5*s + 25. Let b be z(-4). Let h(c) be the second derivative of 1/24*c**4 + 0 + 1/4*c**2 - b*c + 1/6*c**3. Factor h(j).
(j + 1)**2/2
Factor 0 - 3/2*g**2 - 3/2*g.
-3*g*(g + 1)/2
Let l be 18/54 - (-86)/(-6). Let h be 1920/140 - 4/l. Factor h*w - 75 - 2*w**2 - w**2 + 19*w - 3*w.
-3*(w - 5)**2
Let r(q) = -4*q**4 - 67*q**3 - 152*q**2 - 89*q. Let c(d) = -2*d**4 - 34*d**3 - 76*d**2 - 44*d. Let z(i) = 7*c(i) - 4*r(i). What is x in z(x) = 0?
-12, -2, -1, 0
Let q(h) be the second derivative of h**4/36 - 7*h**3/9 + 49*h**2/6 - 7*h - 3. Factor q(y).
(y - 7)**2/3
Let g(x) be the third derivative of x**6/30 - 121*x**5/15 + 3599*x**4/6 + 7442*x**3/3 - 773*x**2. Factor g(y).
4*(y - 61)**2*(y + 1)
Let g(a) be the third derivative of a**8/336 - a**7/210 - a**6/40 + a**5/60 + a**4/12 + 35*a**2 + 1. Factor g(x).
x*(x - 2)*(x - 1)*(x + 1)**2
Factor 0*n**2 - 1/2*n + 0 + 1/2*n**3.
n*(n - 1)*(n + 1)/2
Let i be 312/20 + (-26 - -11). Factor 0*h**2 - 4/5*h + 0 + i*h**3 - 1/5*h**4.
-h*(h - 2)**2*(h + 1)/5
Let b(h) be the first derivative of -2 + 0*h - 2/15*h**3 - 1/5*h**2. Suppose b(m) = 0. Calculate m.
-1, 0
Let o be 6 + (0/(-1) - (-2)/(-1)). Let n(h) be the third derivative of 0 + 1/150*h**5 + 3*h**2 + 1/300*h**6 + 0*h**3 + 0*h + 0*h**o. Solve n(d) = 0 for d.
-1, 0
Let a(v) be the third derivative of v**9/60480 - v**8/13440 + 3*v**4/8 + v**2. Let j(d) be the second derivative of a(d). Let j(u) = 0. What is u?
0, 2
Let y(w) be the third derivative of 0*w**5 + 1/42*w**4 + 1/21*w**3 + 0 - 2*w**2 - 1/210*w**6 - 1/735*w**7 + 23*w. Factor y(d).
-2*(d - 1)*(d + 1)**3/7
Determine x, given that -496*x**3 + 19*x - 14*x**4 - 4*x + 121*x - 14*x**4 - 332*x**2 = 0.
-17, -1, 0, 2/7
Let i(k) be the third derivative of -k**5/15 - 27*k**4/2 - k**2 + 2*k. What is h in i(h) = 0?
-81, 0
Let k = 214 - 214. Let n(j) be the third derivative of -1/300*j**6 + 5*j**2 + k*j - 1/150*j**5 + 1/60*j**4 + 1/15*j**3 + 0. Let n(x) = 0. What is x?
-1, 1
Let g(z) be the first derivative of -z**6/40 + z**5/4 - 3*z**4/8 - 9*z**3/2 - 11*z**2/2 - 2. Let h(w) be the second derivative of g(w). Solve h(p) = 0 for p.
-1, 3
Suppose 18 - 6 = 4*r. Let y(v) be the first derivative of v**r + 2*v**3 + 19 - 2*v**3 + 3*v**2 - 9*v - 24. Find h such that y(h) = 0.
-3, 1
Let a(n) be the first derivative of -26 + 1/10*n**4 + 0*n - 1/5*n**2 - 4/25*n**5 + 4/15*n**3. Suppose a(y) = 0. Calculate y.
-1, 0, 1/2, 1
Suppose -304 = -16*m + 1264. Solve 0 + 100*l + 4 - m*l - 2*l**2 = 0.
-1, 2
Let a(q) = -q**2 - 5*q - 2. Let d be a(-3). Factor -3*z**d + 523*z**2 - 535*z**2 - 2*z**3 + 14*z**3.
-3*z**2*(z - 2)**2
Let f(j) be the third derivative of j**5/480 - 11*j**4/96 + 7*j**3/16 - 444*j**2. What is t in f(t) = 0?
1, 21
Let f(d) = -d**2 + 15*d + 8. Let c be f(15). Let m = 12 - c. Solve 4*k**2 - 6*k + 0*k**2 + 2 + 0 + 2*k**5 + m*k**3 - 6*k**4 = 0 for k.
-1, 1
Factor 0 - 1/2*q**3 - 8*q + 4*q**2.
-q*(q - 4)**2/2
Let c(t) be the first derivative of 7*t**2 + 25 + 8*t + 4/3*t**3 - 1/2*t**4. Factor c(u).
-2*(u - 4)*(u + 1)**2
Find x such that 9/2 + 3/8*x**2 + 21/8*x = 0.
-4, -3
Let d(a) be the third derivative of 51*a**6/260 - 4*a**5/13 + 29*a**4/156 - 2*a**3/39 + 7*a**2 + 4. Suppose d(m) = 0. Calculate m.
2/17, 1/3
Factor -184 + 95 - 4*i + 89 - 4*i**2.
-4*i*(i + 1)
Let f(c) = 15*c**5 - 25*c**4 - 35*c**3 - 5*c + 5. Let l(w) = 7*w**5 - 12*w**4 - 17*w**3 - 2*w + 2. Let x(u) = 2*f(u) - 5*l(u). Factor x(d).
-5*d**3*(d - 3)*(d + 1)
Let l = -255 + 2297/9. Suppose -2/9*d + 0 + 4/9*d**2 - l*d**3 = 0. What is d?
0, 1
Let x(u) be the third derivative of u**7/315 + u**6/180 - u**5/90 - u**4/36 + 6*u**2 + 4. Find r, given that x(r) = 0.
-1, 0, 1
Let z(p) = -2*p**3 + 27*p**2 + 16*p - 25. Let d be z(14). Factor -3/7*r**d + 0 - 3/7*r**2 - 1/7*r - 1/7*r**4.
-r*(r + 1)**3/7
Suppose -1 + 13 = -3*a. Let u be (-240)/(-45) + a*1. Factor u*s + 2*s**3 - 